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Finding the Fourth Proportional to 145,719.40, 218,141.70 and 86,524.60

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Solution

The fourth proportional to 145,719.40, 218,141.70 and 86,524.60 is: 129,527.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,719.40 : 218,141.70 = 86,524.60 : x
  2. Step 2: Convert to fraction form
    145,719.40/218,141.70 = 86,524.60/x
  3. Step 3: Cross multiply
    145,719.40x = 218,141.70 × 86,524.60
  4. Step 4: Simplify right side
    145,719.40x = 18,874,623,335.82
  5. Step 5: Solve for x
    x = 18,874,623,335.82/145,719.40
  6. Step 6: Final answer
    x = 129,527.18

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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.