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Finding the Fourth Proportional to 261,969, 392,952.97 and 72,428.88

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Solution

The fourth proportional to 261,969, 392,952.97 and 72,428.88 is: 108,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,969 : 392,952.97 = 72,428.88 : x
  2. Step 2: Convert to fraction form
    261,969/392,952.97 = 72,428.88/x
  3. Step 3: Cross multiply
    261,969x = 392,952.97 × 72,428.88
  4. Step 4: Simplify right side
    261,969x = 28,461,143,509.77
  5. Step 5: Solve for x
    x = 28,461,143,509.77/261,969
  6. Step 6: Final answer
    x = 108,643.17

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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.