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Finding the Fourth Proportional to 235,814.86, 325,374.05 and 140,302.90

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Solution

The fourth proportional to 235,814.86, 325,374.05 and 140,302.90 is: 193,587.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,814.86 : 325,374.05 = 140,302.90 : x
  2. Step 2: Convert to fraction form
    235,814.86/325,374.05 = 140,302.90/x
  3. Step 3: Cross multiply
    235,814.86x = 325,374.05 × 140,302.90
  4. Step 4: Simplify right side
    235,814.86x = 45,650,920,471.36
  5. Step 5: Solve for x
    x = 45,650,920,471.36/235,814.86
  6. Step 6: Final answer
    x = 193,587.98

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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.