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Finding the Fourth Proportional to 65,306.76, 90,097.36 and 42,638.48

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Solution

The fourth proportional to 65,306.76, 90,097.36 and 42,638.48 is: 58,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,306.76 : 90,097.36 = 42,638.48 : x
  2. Step 2: Convert to fraction form
    65,306.76/90,097.36 = 42,638.48/x
  3. Step 3: Cross multiply
    65,306.76x = 90,097.36 × 42,638.48
  4. Step 4: Simplify right side
    65,306.76x = 3,841,614,482.41
  5. Step 5: Solve for x
    x = 3,841,614,482.41/65,306.76
  6. Step 6: Final answer
    x = 58,824.15

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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.