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Finding the Fourth Proportional to 115,280.64, 159,079.68 and 64,978.56

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Solution

The fourth proportional to 115,280.64, 159,079.68 and 64,978.56 is: 89,666.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,280.64 : 159,079.68 = 64,978.56 : x
  2. Step 2: Convert to fraction form
    115,280.64/159,079.68 = 64,978.56/x
  3. Step 3: Cross multiply
    115,280.64x = 159,079.68 × 64,978.56
  4. Step 4: Simplify right side
    115,280.64x = 10,336,768,531.66
  5. Step 5: Solve for x
    x = 10,336,768,531.66/115,280.64
  6. Step 6: Final answer
    x = 89,666.13

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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.