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Finding the Fourth Proportional to 137,215.60, 205,823.40 and 131,772.40

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Solution

The fourth proportional to 137,215.60, 205,823.40 and 131,772.40 is: 197,658.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,215.60 : 205,823.40 = 131,772.40 : x
  2. Step 2: Convert to fraction form
    137,215.60/205,823.40 = 131,772.40/x
  3. Step 3: Cross multiply
    137,215.60x = 205,823.40 × 131,772.40
  4. Step 4: Simplify right side
    137,215.60x = 27,121,843,394.16
  5. Step 5: Solve for x
    x = 27,121,843,394.16/137,215.60
  6. Step 6: Final answer
    x = 197,658.60

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1.5x scale

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.