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Finding the Fourth Proportional to 137,205.60, 205,720.80 and 58,279.20

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Solution

The fourth proportional to 137,205.60, 205,720.80 and 58,279.20 is: 87,381.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,205.60 : 205,720.80 = 58,279.20 : x
  2. Step 2: Convert to fraction form
    137,205.60/205,720.80 = 58,279.20/x
  3. Step 3: Cross multiply
    137,205.60x = 205,720.80 × 58,279.20
  4. Step 4: Simplify right side
    137,205.60x = 11,989,243,647.36
  5. Step 5: Solve for x
    x = 11,989,243,647.36/137,205.60
  6. Step 6: Final answer
    x = 87,381.59

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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.