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Finding the Fourth Proportional to 40,085.25, 60,135.15 and 13,784.15

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Solution

The fourth proportional to 40,085.25, 60,135.15 and 13,784.15 is: 20,678.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,085.25 : 60,135.15 = 13,784.15 : x
  2. Step 2: Convert to fraction form
    40,085.25/60,135.15 = 13,784.15/x
  3. Step 3: Cross multiply
    40,085.25x = 60,135.15 × 13,784.15
  4. Step 4: Simplify right side
    40,085.25x = 828,911,627.20
  5. Step 5: Solve for x
    x = 828,911,627.20/40,085.25
  6. Step 6: Final answer
    x = 20,678.72

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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.