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Finding the Fourth Proportional to 145,374.76, 218,062.14 and 80,125.48

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Solution

The fourth proportional to 145,374.76, 218,062.14 and 80,125.48 is: 120,188.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,374.76 : 218,062.14 = 80,125.48 : x
  2. Step 2: Convert to fraction form
    145,374.76/218,062.14 = 80,125.48/x
  3. Step 3: Cross multiply
    145,374.76x = 218,062.14 × 80,125.48
  4. Step 4: Simplify right side
    145,374.76x = 17,472,333,637.33
  5. Step 5: Solve for x
    x = 17,472,333,637.33/145,374.76
  6. Step 6: Final answer
    x = 120,188.22

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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.