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Finding the Fourth Proportional to 141,648.60, 212,588.10 and 137,040.60

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Solution

The fourth proportional to 141,648.60, 212,588.10 and 137,040.60 is: 205,672.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,648.60 : 212,588.10 = 137,040.60 : x
  2. Step 2: Convert to fraction form
    141,648.60/212,588.10 = 137,040.60/x
  3. Step 3: Cross multiply
    141,648.60x = 212,588.10 × 137,040.60
  4. Step 4: Simplify right side
    141,648.60x = 29,133,200,776.86
  5. Step 5: Solve for x
    x = 29,133,200,776.86/141,648.60
  6. Step 6: Final answer
    x = 205,672.35

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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.