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Finding the Fourth Proportional to 265,807.71, 398,643.12 and 78,775.47

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Solution

The fourth proportional to 265,807.71, 398,643.12 and 78,775.47 is: 118,142.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,807.71 : 398,643.12 = 78,775.47 : x
  2. Step 2: Convert to fraction form
    265,807.71/398,643.12 = 78,775.47/x
  3. Step 3: Cross multiply
    265,807.71x = 398,643.12 × 78,775.47
  4. Step 4: Simplify right side
    265,807.71x = 31,403,299,140.27
  5. Step 5: Solve for x
    x = 31,403,299,140.27/265,807.71
  6. Step 6: Final answer
    x = 118,142.92

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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.