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Finding the Fourth Proportional to 99,853.49, 137,798.90 and 54,532.80

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Solution

The fourth proportional to 99,853.49, 137,798.90 and 54,532.80 is: 75,255.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,853.49 : 137,798.90 = 54,532.80 : x
  2. Step 2: Convert to fraction form
    99,853.49/137,798.90 = 54,532.80/x
  3. Step 3: Cross multiply
    99,853.49x = 137,798.90 × 54,532.80
  4. Step 4: Simplify right side
    99,853.49x = 7,514,559,990.25
  5. Step 5: Solve for x
    x = 7,514,559,990.25/99,853.49
  6. Step 6: Final answer
    x = 75,255.86

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1.5x scale

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.