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Finding the Fourth Proportional to 99,532, 137,354.16 and 54,820

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Solution

The fourth proportional to 99,532, 137,354.16 and 54,820 is: 75,651.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,532 : 137,354.16 = 54,820 : x
  2. Step 2: Convert to fraction form
    99,532/137,354.16 = 54,820/x
  3. Step 3: Cross multiply
    99,532x = 137,354.16 × 54,820
  4. Step 4: Simplify right side
    99,532x = 7,529,755,051.20
  5. Step 5: Solve for x
    x = 7,529,755,051.20/99,532
  6. Step 6: Final answer
    x = 75,651.60

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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.