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Finding the Fourth Proportional to 101,458.80, 152,248.77 and 54,109.08

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Solution

The fourth proportional to 101,458.80, 152,248.77 and 54,109.08 is: 81,195.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,458.80 : 152,248.77 = 54,109.08 : x
  2. Step 2: Convert to fraction form
    101,458.80/152,248.77 = 54,109.08/x
  3. Step 3: Cross multiply
    101,458.80x = 152,248.77 × 54,109.08
  4. Step 4: Simplify right side
    101,458.80x = 8,238,040,875.83
  5. Step 5: Solve for x
    x = 8,238,040,875.83/101,458.80
  6. Step 6: Final answer
    x = 81,195.92

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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.