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Finding the Fourth Proportional to 76,804,907.70, 115,207,361.55 and 50,976,875.10

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Solution

The fourth proportional to 76,804,907.70, 115,207,361.55 and 50,976,875.10 is: 76,465,312.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,804,907.70 : 115,207,361.55 = 50,976,875.10 : x
  2. Step 2: Convert to fraction form
    76,804,907.70/115,207,361.55 = 50,976,875.10/x
  3. Step 3: Cross multiply
    76,804,907.70x = 115,207,361.55 × 50,976,875.10
  4. Step 4: Simplify right side
    76,804,907.70x = 5,872,911,280,334,892
  5. Step 5: Solve for x
    x = 5,872,911,280,334,892/76,804,907.70
  6. Step 6: Final answer
    x = 76,465,312.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.