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Finding the Fourth Proportional to 145,754.40, 218,631.60 and 83,381.16

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Solution

The fourth proportional to 145,754.40, 218,631.60 and 83,381.16 is: 125,071.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,754.40 : 218,631.60 = 83,381.16 : x
  2. Step 2: Convert to fraction form
    145,754.40/218,631.60 = 83,381.16/x
  3. Step 3: Cross multiply
    145,754.40x = 218,631.60 × 83,381.16
  4. Step 4: Simplify right side
    145,754.40x = 18,229,756,420.66
  5. Step 5: Solve for x
    x = 18,229,756,420.66/145,754.40
  6. Step 6: Final answer
    x = 125,071.74

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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.