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Finding the Fourth Proportional to 74,856.80, 103,302.56 and 40,865.30

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Solution

The fourth proportional to 74,856.80, 103,302.56 and 40,865.30 is: 56,394.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,856.80 : 103,302.56 = 40,865.30 : x
  2. Step 2: Convert to fraction form
    74,856.80/103,302.56 = 40,865.30/x
  3. Step 3: Cross multiply
    74,856.80x = 103,302.56 × 40,865.30
  4. Step 4: Simplify right side
    74,856.80x = 4,221,490,105.17
  5. Step 5: Solve for x
    x = 4,221,490,105.17/74,856.80
  6. Step 6: Final answer
    x = 56,394.21

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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.