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Finding the Fourth Proportional to 115,858.47, 159,871.47 and 64,864.11

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Solution

The fourth proportional to 115,858.47, 159,871.47 and 64,864.11 is: 89,505.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,858.47 : 159,871.47 = 64,864.11 : x
  2. Step 2: Convert to fraction form
    115,858.47/159,871.47 = 64,864.11/x
  3. Step 3: Cross multiply
    115,858.47x = 159,871.47 × 64,864.11
  4. Step 4: Simplify right side
    115,858.47x = 10,369,920,615.94
  5. Step 5: Solve for x
    x = 10,369,920,615.94/115,858.47
  6. Step 6: Final answer
    x = 89,505.07

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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.