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Finding the Fourth Proportional to 135,129.99, 186,470.47 and 77,760.04

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Solution

The fourth proportional to 135,129.99, 186,470.47 and 77,760.04 is: 107,303.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,129.99 : 186,470.47 = 77,760.04 : x
  2. Step 2: Convert to fraction form
    135,129.99/186,470.47 = 77,760.04/x
  3. Step 3: Cross multiply
    135,129.99x = 186,470.47 × 77,760.04
  4. Step 4: Simplify right side
    135,129.99x = 14,499,951,206.02
  5. Step 5: Solve for x
    x = 14,499,951,206.02/135,129.99
  6. Step 6: Final answer
    x = 107,303.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.