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Finding the Fourth Proportional to 137,143.40, 205,715.10 and 67,159.40

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Solution

The fourth proportional to 137,143.40, 205,715.10 and 67,159.40 is: 100,739.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,143.40 : 205,715.10 = 67,159.40 : x
  2. Step 2: Convert to fraction form
    137,143.40/205,715.10 = 67,159.40/x
  3. Step 3: Cross multiply
    137,143.40x = 205,715.10 × 67,159.40
  4. Step 4: Simplify right side
    137,143.40x = 13,815,702,686.94
  5. Step 5: Solve for x
    x = 13,815,702,686.94/137,143.40
  6. Step 6: Final answer
    x = 100,739.10

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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.