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Finding the Fourth Proportional to 103,609.72, 142,973.24 and 58,278.68

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Solution

The fourth proportional to 103,609.72, 142,973.24 and 58,278.68 is: 80,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,609.72 : 142,973.24 = 58,278.68 : x
  2. Step 2: Convert to fraction form
    103,609.72/142,973.24 = 58,278.68/x
  3. Step 3: Cross multiply
    103,609.72x = 142,973.24 × 58,278.68
  4. Step 4: Simplify right side
    103,609.72x = 8,332,290,696.26
  5. Step 5: Solve for x
    x = 8,332,290,696.26/103,609.72
  6. Step 6: Final answer
    x = 80,419.97

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1.5x scale

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.