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Finding the Fourth Proportional to 267,354.71, 401,011.88 and 77,816.55

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Solution

The fourth proportional to 267,354.71, 401,011.88 and 77,816.55 is: 116,718.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,354.71 : 401,011.88 = 77,816.55 : x
  2. Step 2: Convert to fraction form
    267,354.71/401,011.88 = 77,816.55/x
  3. Step 3: Cross multiply
    267,354.71x = 401,011.88 × 77,816.55
  4. Step 4: Simplify right side
    267,354.71x = 31,205,360,621.53
  5. Step 5: Solve for x
    x = 31,205,360,621.53/267,354.71
  6. Step 6: Final answer
    x = 116,718.95

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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.