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Finding the Fourth Proportional to 137,197.29, 205,815.30 and 42,435.77

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Solution

The fourth proportional to 137,197.29, 205,815.30 and 42,435.77 is: 63,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,197.29 : 205,815.30 = 42,435.77 : x
  2. Step 2: Convert to fraction form
    137,197.29/205,815.30 = 42,435.77/x
  3. Step 3: Cross multiply
    137,197.29x = 205,815.30 × 42,435.77
  4. Step 4: Simplify right side
    137,197.29x = 8,733,931,639.69
  5. Step 5: Solve for x
    x = 8,733,931,639.69/137,197.29
  6. Step 6: Final answer
    x = 63,659.65

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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.