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Finding the Fourth Proportional to 144,884.60, 217,424.10 and 85,657.40

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Solution

The fourth proportional to 144,884.60, 217,424.10 and 85,657.40 is: 128,543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,884.60 : 217,424.10 = 85,657.40 : x
  2. Step 2: Convert to fraction form
    144,884.60/217,424.10 = 85,657.40/x
  3. Step 3: Cross multiply
    144,884.60x = 217,424.10 × 85,657.40
  4. Step 4: Simplify right side
    144,884.60x = 18,623,983,103.34
  5. Step 5: Solve for x
    x = 18,623,983,103.34/144,884.60
  6. Step 6: Final answer
    x = 128,543.57

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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.