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Finding the Fourth Proportional to 103,506.80, 142,854.48 and 58,188.52

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Solution

The fourth proportional to 103,506.80, 142,854.48 and 58,188.52 is: 80,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,506.80 : 142,854.48 = 58,188.52 : x
  2. Step 2: Convert to fraction form
    103,506.80/142,854.48 = 58,188.52/x
  3. Step 3: Cross multiply
    103,506.80x = 142,854.48 × 58,188.52
  4. Step 4: Simplify right side
    103,506.80x = 8,312,490,766.57
  5. Step 5: Solve for x
    x = 8,312,490,766.57/103,506.80
  6. Step 6: Final answer
    x = 80,308.64

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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.