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Finding the Fourth Proportional to 103,080, 142,250.40 and 58,376.64

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Solution

The fourth proportional to 103,080, 142,250.40 and 58,376.64 is: 80,559.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,080 : 142,250.40 = 58,376.64 : x
  2. Step 2: Convert to fraction form
    103,080/142,250.40 = 58,376.64/x
  3. Step 3: Cross multiply
    103,080x = 142,250.40 × 58,376.64
  4. Step 4: Simplify right side
    103,080x = 8,304,100,390.66
  5. Step 5: Solve for x
    x = 8,304,100,390.66/103,080
  6. Step 6: Final answer
    x = 80,559.76

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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.