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Finding the Fourth Proportional to 139,512.30, 209,268.45 and 97,521.90

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Solution

The fourth proportional to 139,512.30, 209,268.45 and 97,521.90 is: 146,282.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,512.30 : 209,268.45 = 97,521.90 : x
  2. Step 2: Convert to fraction form
    139,512.30/209,268.45 = 97,521.90/x
  3. Step 3: Cross multiply
    139,512.30x = 209,268.45 × 97,521.90
  4. Step 4: Simplify right side
    139,512.30x = 20,408,256,854.06
  5. Step 5: Solve for x
    x = 20,408,256,854.06/139,512.30
  6. Step 6: Final answer
    x = 146,282.85

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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.