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Finding the Fourth Proportional to 73,782.76, 101,820.09 and 40,248.76

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Solution

The fourth proportional to 73,782.76, 101,820.09 and 40,248.76 is: 55,543.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,782.76 : 101,820.09 = 40,248.76 : x
  2. Step 2: Convert to fraction form
    73,782.76/101,820.09 = 40,248.76/x
  3. Step 3: Cross multiply
    73,782.76x = 101,820.09 × 40,248.76
  4. Step 4: Simplify right side
    73,782.76x = 4,098,132,365.59
  5. Step 5: Solve for x
    x = 4,098,132,365.59/73,782.76
  6. Step 6: Final answer
    x = 55,543.22

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1.5x scale

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.