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Finding the Fourth Proportional to 133,124.80, 199,773.06 and 85,734.94

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Solution

The fourth proportional to 133,124.80, 199,773.06 and 85,734.94 is: 128,657.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,124.80 : 199,773.06 = 85,734.94 : x
  2. Step 2: Convert to fraction form
    133,124.80/199,773.06 = 85,734.94/x
  3. Step 3: Cross multiply
    133,124.80x = 199,773.06 × 85,734.94
  4. Step 4: Simplify right side
    133,124.80x = 17,127,531,312.72
  5. Step 5: Solve for x
    x = 17,127,531,312.72/133,124.80
  6. Step 6: Final answer
    x = 128,657.71

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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.