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Finding the Fourth Proportional to 115,712.96, 159,681.78 and 65,411.96

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Solution

The fourth proportional to 115,712.96, 159,681.78 and 65,411.96 is: 90,267.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,712.96 : 159,681.78 = 65,411.96 : x
  2. Step 2: Convert to fraction form
    115,712.96/159,681.78 = 65,411.96/x
  3. Step 3: Cross multiply
    115,712.96x = 159,681.78 × 65,411.96
  4. Step 4: Simplify right side
    115,712.96x = 10,445,098,206.09
  5. Step 5: Solve for x
    x = 10,445,098,206.09/115,712.96
  6. Step 6: Final answer
    x = 90,267.31

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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.