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Finding the Fourth Proportional to 145,881.92, 218,818.40 and 57,110.40

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Solution

The fourth proportional to 145,881.92, 218,818.40 and 57,110.40 is: 85,663.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,881.92 : 218,818.40 = 57,110.40 : x
  2. Step 2: Convert to fraction form
    145,881.92/218,818.40 = 57,110.40/x
  3. Step 3: Cross multiply
    145,881.92x = 218,818.40 × 57,110.40
  4. Step 4: Simplify right side
    145,881.92x = 12,496,806,351.36
  5. Step 5: Solve for x
    x = 12,496,806,351.36/145,881.92
  6. Step 6: Final answer
    x = 85,663.85

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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.