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Finding the Fourth Proportional to 265,966.92, 399,016.08 and 78,978.24

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Solution

The fourth proportional to 265,966.92, 399,016.08 and 78,978.24 is: 118,486.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,966.92 : 399,016.08 = 78,978.24 : x
  2. Step 2: Convert to fraction form
    265,966.92/399,016.08 = 78,978.24/x
  3. Step 3: Cross multiply
    265,966.92x = 399,016.08 × 78,978.24
  4. Step 4: Simplify right side
    265,966.92x = 31,513,587,730.10
  5. Step 5: Solve for x
    x = 31,513,587,730.10/265,966.92
  6. Step 6: Final answer
    x = 118,486.87

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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.