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Finding the Fourth Proportional to 151,439.46, 208,987.86 and 83,458.86

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Solution

The fourth proportional to 151,439.46, 208,987.86 and 83,458.86 is: 115,174.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,439.46 : 208,987.86 = 83,458.86 : x
  2. Step 2: Convert to fraction form
    151,439.46/208,987.86 = 83,458.86/x
  3. Step 3: Cross multiply
    151,439.46x = 208,987.86 × 83,458.86
  4. Step 4: Simplify right side
    151,439.46x = 17,441,888,549.44
  5. Step 5: Solve for x
    x = 17,441,888,549.44/151,439.46
  6. Step 6: Final answer
    x = 115,174.00

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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.