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Finding the Fourth Proportional to 137,113.65, 205,587.36 and 89,671.44

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Solution

The fourth proportional to 137,113.65, 205,587.36 and 89,671.44 is: 134,452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,113.65 : 205,587.36 = 89,671.44 : x
  2. Step 2: Convert to fraction form
    137,113.65/205,587.36 = 89,671.44/x
  3. Step 3: Cross multiply
    137,113.65x = 205,587.36 × 89,671.44
  4. Step 4: Simplify right side
    137,113.65x = 18,435,314,617.00
  5. Step 5: Solve for x
    x = 18,435,314,617.00/137,113.65
  6. Step 6: Final answer
    x = 134,452.80

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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.