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Finding the Fourth Proportional to 266,595.97, 399,894.72 and 77,071.77

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Solution

The fourth proportional to 266,595.97, 399,894.72 and 77,071.77 is: 115,607.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,595.97 : 399,894.72 = 77,071.77 : x
  2. Step 2: Convert to fraction form
    266,595.97/399,894.72 = 77,071.77/x
  3. Step 3: Cross multiply
    266,595.97x = 399,894.72 × 77,071.77
  4. Step 4: Simplify right side
    266,595.97x = 30,820,592,095.43
  5. Step 5: Solve for x
    x = 30,820,592,095.43/266,595.97
  6. Step 6: Final answer
    x = 115,607.87

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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.