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Finding the Fourth Proportional to 145,820.76, 218,731.26 and 40,642.52

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Solution

The fourth proportional to 145,820.76, 218,731.26 and 40,642.52 is: 60,963.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,820.76 : 218,731.26 = 40,642.52 : x
  2. Step 2: Convert to fraction form
    145,820.76/218,731.26 = 40,642.52/x
  3. Step 3: Cross multiply
    145,820.76x = 218,731.26 × 40,642.52
  4. Step 4: Simplify right side
    145,820.76x = 8,889,789,609.18
  5. Step 5: Solve for x
    x = 8,889,789,609.18/145,820.76
  6. Step 6: Final answer
    x = 60,963.81

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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.