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Finding the Fourth Proportional to 260,070.76, 390,113.43 and 127,057.42

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Solution

The fourth proportional to 260,070.76, 390,113.43 and 127,057.42 is: 190,589.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,070.76 : 390,113.43 = 127,057.42 : x
  2. Step 2: Convert to fraction form
    260,070.76/390,113.43 = 127,057.42/x
  3. Step 3: Cross multiply
    260,070.76x = 390,113.43 × 127,057.42
  4. Step 4: Simplify right side
    260,070.76x = 49,566,804,947.87
  5. Step 5: Solve for x
    x = 49,566,804,947.87/260,070.76
  6. Step 6: Final answer
    x = 190,589.69

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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.