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Finding the Fourth Proportional to 81,088.56, 121,463.34 and 65,207.70

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Solution

The fourth proportional to 81,088.56, 121,463.34 and 65,207.70 is: 97,675.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,088.56 : 121,463.34 = 65,207.70 : x
  2. Step 2: Convert to fraction form
    81,088.56/121,463.34 = 65,207.70/x
  3. Step 3: Cross multiply
    81,088.56x = 121,463.34 × 65,207.70
  4. Step 4: Simplify right side
    81,088.56x = 7,920,345,035.72
  5. Step 5: Solve for x
    x = 7,920,345,035.72/81,088.56
  6. Step 6: Final answer
    x = 97,675.25

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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.