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Finding the Fourth Proportional to 99,142.80, 136,817.12 and 53,820.76

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Solution

The fourth proportional to 99,142.80, 136,817.12 and 53,820.76 is: 74,272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,142.80 : 136,817.12 = 53,820.76 : x
  2. Step 2: Convert to fraction form
    99,142.80/136,817.12 = 53,820.76/x
  3. Step 3: Cross multiply
    99,142.80x = 136,817.12 × 53,820.76
  4. Step 4: Simplify right side
    99,142.80x = 7,363,601,379.41
  5. Step 5: Solve for x
    x = 7,363,601,379.41/99,142.80
  6. Step 6: Final answer
    x = 74,272.68

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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.