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Finding the Fourth Proportional to 99,668.80, 137,542.08 and 54,347.50

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Solution

The fourth proportional to 99,668.80, 137,542.08 and 54,347.50 is: 74,999.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,668.80 : 137,542.08 = 54,347.50 : x
  2. Step 2: Convert to fraction form
    99,668.80/137,542.08 = 54,347.50/x
  3. Step 3: Cross multiply
    99,668.80x = 137,542.08 × 54,347.50
  4. Step 4: Simplify right side
    99,668.80x = 7,475,068,192.80
  5. Step 5: Solve for x
    x = 7,475,068,192.80/99,668.80
  6. Step 6: Final answer
    x = 74,999.08

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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.