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Finding the Fourth Proportional to 83,430.88, 125,068.56 and 27,988

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Solution

The fourth proportional to 83,430.88, 125,068.56 and 27,988 is: 41,955.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,430.88 : 125,068.56 = 27,988 : x
  2. Step 2: Convert to fraction form
    83,430.88/125,068.56 = 27,988/x
  3. Step 3: Cross multiply
    83,430.88x = 125,068.56 × 27,988
  4. Step 4: Simplify right side
    83,430.88x = 3,500,418,857.28
  5. Step 5: Solve for x
    x = 3,500,418,857.28/83,430.88
  6. Step 6: Final answer
    x = 41,955.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.