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Finding the Fourth Proportional to 103,429.78, 142,723.02 and 58,097.50

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Solution

The fourth proportional to 103,429.78, 142,723.02 and 58,097.50 is: 80,168.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,429.78 : 142,723.02 = 58,097.50 : x
  2. Step 2: Convert to fraction form
    103,429.78/142,723.02 = 58,097.50/x
  3. Step 3: Cross multiply
    103,429.78x = 142,723.02 × 58,097.50
  4. Step 4: Simplify right side
    103,429.78x = 8,291,850,654.45
  5. Step 5: Solve for x
    x = 8,291,850,654.45/103,429.78
  6. Step 6: Final answer
    x = 80,168.89

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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.