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Finding the Fourth Proportional to 266,677.29, 399,955.91 and 77,095.40

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Solution

The fourth proportional to 266,677.29, 399,955.91 and 77,095.40 is: 115,625.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,677.29 : 399,955.91 = 77,095.40 : x
  2. Step 2: Convert to fraction form
    266,677.29/399,955.91 = 77,095.40/x
  3. Step 3: Cross multiply
    266,677.29x = 399,955.91 × 77,095.40
  4. Step 4: Simplify right side
    266,677.29x = 30,834,758,478.56
  5. Step 5: Solve for x
    x = 30,834,758,478.56/266,677.29
  6. Step 6: Final answer
    x = 115,625.74

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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.