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Finding the Fourth Proportional to 102,722, 141,767.88 and 58,012.88

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Solution

The fourth proportional to 102,722, 141,767.88 and 58,012.88 is: 80,064.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,722 : 141,767.88 = 58,012.88 : x
  2. Step 2: Convert to fraction form
    102,722/141,767.88 = 58,012.88/x
  3. Step 3: Cross multiply
    102,722x = 141,767.88 × 58,012.88
  4. Step 4: Simplify right side
    102,722x = 8,224,363,010.29
  5. Step 5: Solve for x
    x = 8,224,363,010.29/102,722
  6. Step 6: Final answer
    x = 80,064.28

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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.