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Finding the Fourth Proportional to 103,510.80, 142,860 and 58,192.52

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Solution

The fourth proportional to 103,510.80, 142,860 and 58,192.52 is: 80,314.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,510.80 : 142,860 = 58,192.52 : x
  2. Step 2: Convert to fraction form
    103,510.80/142,860 = 58,192.52/x
  3. Step 3: Cross multiply
    103,510.80x = 142,860 × 58,192.52
  4. Step 4: Simplify right side
    103,510.80x = 8,313,383,407.20
  5. Step 5: Solve for x
    x = 8,313,383,407.20/103,510.80
  6. Step 6: Final answer
    x = 80,314.16

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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.