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Finding the Fourth Proportional to 103,070.46, 142,523.55 and 81,812.82

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Solution

The fourth proportional to 103,070.46, 142,523.55 and 81,812.82 is: 113,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,070.46 : 142,523.55 = 81,812.82 : x
  2. Step 2: Convert to fraction form
    103,070.46/142,523.55 = 81,812.82/x
  3. Step 3: Cross multiply
    103,070.46x = 142,523.55 × 81,812.82
  4. Step 4: Simplify right side
    103,070.46x = 11,660,253,541.91
  5. Step 5: Solve for x
    x = 11,660,253,541.91/103,070.46
  6. Step 6: Final answer
    x = 113,128.96

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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.