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Finding the Fourth Proportional to 92,814.19, 138,985.79 and 77,781.78

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Solution

The fourth proportional to 92,814.19, 138,985.79 and 77,781.78 is: 116,475.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,814.19 : 138,985.79 = 77,781.78 : x
  2. Step 2: Convert to fraction form
    92,814.19/138,985.79 = 77,781.78/x
  3. Step 3: Cross multiply
    92,814.19x = 138,985.79 × 77,781.78
  4. Step 4: Simplify right side
    92,814.19x = 10,810,561,598.99
  5. Step 5: Solve for x
    x = 10,810,561,598.99/92,814.19
  6. Step 6: Final answer
    x = 116,475.31

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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.