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Finding the Fourth Proportional to 82,717.47, 123,812.80 and 65,888.51

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Solution

The fourth proportional to 82,717.47, 123,812.80 and 65,888.51 is: 98,622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,717.47 : 123,812.80 = 65,888.51 : x
  2. Step 2: Convert to fraction form
    82,717.47/123,812.80 = 65,888.51/x
  3. Step 3: Cross multiply
    82,717.47x = 123,812.80 × 65,888.51
  4. Step 4: Simplify right side
    82,717.47x = 8,157,840,127.14
  5. Step 5: Solve for x
    x = 8,157,840,127.14/82,717.47
  6. Step 6: Final answer
    x = 98,622.94

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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.