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Finding the Fourth Proportional to 100,045.37, 138,057.45 and 54,714.53

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Solution

The fourth proportional to 100,045.37, 138,057.45 and 54,714.53 is: 75,503.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,045.37 : 138,057.45 = 54,714.53 : x
  2. Step 2: Convert to fraction form
    100,045.37/138,057.45 = 54,714.53/x
  3. Step 3: Cross multiply
    100,045.37x = 138,057.45 × 54,714.53
  4. Step 4: Simplify right side
    100,045.37x = 7,553,747,799.46
  5. Step 5: Solve for x
    x = 7,553,747,799.46/100,045.37
  6. Step 6: Final answer
    x = 75,503.23

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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.