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Finding the Fourth Proportional to 89,117, 122,981.46 and 53,308.52

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Solution

The fourth proportional to 89,117, 122,981.46 and 53,308.52 is: 73,565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,117 : 122,981.46 = 53,308.52 : x
  2. Step 2: Convert to fraction form
    89,117/122,981.46 = 53,308.52/x
  3. Step 3: Cross multiply
    89,117x = 122,981.46 × 53,308.52
  4. Step 4: Simplify right side
    89,117x = 6,555,959,620.04
  5. Step 5: Solve for x
    x = 6,555,959,620.04/89,117
  6. Step 6: Final answer
    x = 73,565.76

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