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Finding the Fourth Proportional to 139,985.07, 193,144.76 and 85,523.22

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Solution

The fourth proportional to 139,985.07, 193,144.76 and 85,523.22 is: 118,000.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,985.07 : 193,144.76 = 85,523.22 : x
  2. Step 2: Convert to fraction form
    139,985.07/193,144.76 = 85,523.22/x
  3. Step 3: Cross multiply
    139,985.07x = 193,144.76 × 85,523.22
  4. Step 4: Simplify right side
    139,985.07x = 16,518,361,373.71
  5. Step 5: Solve for x
    x = 16,518,361,373.71/139,985.07
  6. Step 6: Final answer
    x = 118,000.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.