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Finding the Fourth Proportional to 97,907.90, 146,643.15 and 80,411.90

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Solution

The fourth proportional to 97,907.90, 146,643.15 and 80,411.90 is: 120,438.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,907.90 : 146,643.15 = 80,411.90 : x
  2. Step 2: Convert to fraction form
    97,907.90/146,643.15 = 80,411.90/x
  3. Step 3: Cross multiply
    97,907.90x = 146,643.15 × 80,411.90
  4. Step 4: Simplify right side
    97,907.90x = 11,791,854,313.49
  5. Step 5: Solve for x
    x = 11,791,854,313.49/97,907.90
  6. Step 6: Final answer
    x = 120,438.23

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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.