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Finding the Fourth Proportional to 145,978.39, 218,956.65 and 40,805.56

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Solution

The fourth proportional to 145,978.39, 218,956.65 and 40,805.56 is: 61,205.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,978.39 : 218,956.65 = 40,805.56 : x
  2. Step 2: Convert to fraction form
    145,978.39/218,956.65 = 40,805.56/x
  3. Step 3: Cross multiply
    145,978.39x = 218,956.65 × 40,805.56
  4. Step 4: Simplify right side
    145,978.39x = 8,934,648,718.97
  5. Step 5: Solve for x
    x = 8,934,648,718.97/145,978.39
  6. Step 6: Final answer
    x = 61,205.28

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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.