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Finding the Fourth Proportional to 51,471.40, 77,091.90 and 42,255.40

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Solution

The fourth proportional to 51,471.40, 77,091.90 and 42,255.40 is: 63,288.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,471.40 : 77,091.90 = 42,255.40 : x
  2. Step 2: Convert to fraction form
    51,471.40/77,091.90 = 42,255.40/x
  3. Step 3: Cross multiply
    51,471.40x = 77,091.90 × 42,255.40
  4. Step 4: Simplify right side
    51,471.40x = 3,257,549,071.26
  5. Step 5: Solve for x
    x = 3,257,549,071.26/51,471.40
  6. Step 6: Final answer
    x = 63,288.53

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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.