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Finding the Fourth Proportional to 128,113.71, 191,909.49 and 77,481.93

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Solution

The fourth proportional to 128,113.71, 191,909.49 and 77,481.93 is: 116,065.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,113.71 : 191,909.49 = 77,481.93 : x
  2. Step 2: Convert to fraction form
    128,113.71/191,909.49 = 77,481.93/x
  3. Step 3: Cross multiply
    128,113.71x = 191,909.49 × 77,481.93
  4. Step 4: Simplify right side
    128,113.71x = 14,869,517,670.52
  5. Step 5: Solve for x
    x = 14,869,517,670.52/128,113.71
  6. Step 6: Final answer
    x = 116,065.00

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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.