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Finding the Fourth Proportional to 51,638.40, 77,342.40 and 42,422.40

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Solution

The fourth proportional to 51,638.40, 77,342.40 and 42,422.40 is: 63,538.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,638.40 : 77,342.40 = 42,422.40 : x
  2. Step 2: Convert to fraction form
    51,638.40/77,342.40 = 42,422.40/x
  3. Step 3: Cross multiply
    51,638.40x = 77,342.40 × 42,422.40
  4. Step 4: Simplify right side
    51,638.40x = 3,281,050,229.76
  5. Step 5: Solve for x
    x = 3,281,050,229.76/51,638.40
  6. Step 6: Final answer
    x = 63,538.96

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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.