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Finding the Fourth Proportional to 103,607.87, 142,978.65 and 58,285.88

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Solution

The fourth proportional to 103,607.87, 142,978.65 and 58,285.88 is: 80,434.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,607.87 : 142,978.65 = 58,285.88 : x
  2. Step 2: Convert to fraction form
    103,607.87/142,978.65 = 58,285.88/x
  3. Step 3: Cross multiply
    103,607.87x = 142,978.65 × 58,285.88
  4. Step 4: Simplify right side
    103,607.87x = 8,333,636,436.46
  5. Step 5: Solve for x
    x = 8,333,636,436.46/103,607.87
  6. Step 6: Final answer
    x = 80,434.40

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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.