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Finding the Fourth Proportional to 109,813, 151,542.48 and 59,512

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Solution

The fourth proportional to 109,813, 151,542.48 and 59,512 is: 82,126.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,813 : 151,542.48 = 59,512 : x
  2. Step 2: Convert to fraction form
    109,813/151,542.48 = 59,512/x
  3. Step 3: Cross multiply
    109,813x = 151,542.48 × 59,512
  4. Step 4: Simplify right side
    109,813x = 9,018,596,069.76
  5. Step 5: Solve for x
    x = 9,018,596,069.76/109,813
  6. Step 6: Final answer
    x = 82,126.85

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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.