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Finding the Fourth Proportional to 121,134.40, 181,701.60 and 76,811.20

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Solution

The fourth proportional to 121,134.40, 181,701.60 and 76,811.20 is: 115,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,134.40 : 181,701.60 = 76,811.20 : x
  2. Step 2: Convert to fraction form
    121,134.40/181,701.60 = 76,811.20/x
  3. Step 3: Cross multiply
    121,134.40x = 181,701.60 × 76,811.20
  4. Step 4: Simplify right side
    121,134.40x = 13,956,717,937.92
  5. Step 5: Solve for x
    x = 13,956,717,937.92/121,134.40
  6. Step 6: Final answer
    x = 115,216.80

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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.