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Finding the Fourth Proportional to 144,905.68, 217,316.40 and 56,139.40

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Solution

The fourth proportional to 144,905.68, 217,316.40 and 56,139.40 is: 84,192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,905.68 : 217,316.40 = 56,139.40 : x
  2. Step 2: Convert to fraction form
    144,905.68/217,316.40 = 56,139.40/x
  3. Step 3: Cross multiply
    144,905.68x = 217,316.40 × 56,139.40
  4. Step 4: Simplify right side
    144,905.68x = 12,200,012,306.16
  5. Step 5: Solve for x
    x = 12,200,012,306.16/144,905.68
  6. Step 6: Final answer
    x = 84,192.78

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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.