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Finding the Fourth Proportional to 145,290.49, 218,263.80 and 86,164.94

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Solution

The fourth proportional to 145,290.49, 218,263.80 and 86,164.94 is: 129,441.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,290.49 : 218,263.80 = 86,164.94 : x
  2. Step 2: Convert to fraction form
    145,290.49/218,263.80 = 86,164.94/x
  3. Step 3: Cross multiply
    145,290.49x = 218,263.80 × 86,164.94
  4. Step 4: Simplify right side
    145,290.49x = 18,806,687,231.17
  5. Step 5: Solve for x
    x = 18,806,687,231.17/145,290.49
  6. Step 6: Final answer
    x = 129,441.97

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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.