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Finding the Fourth Proportional to 139,876.95, 193,030.22 and 76,214.75

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Solution

The fourth proportional to 139,876.95, 193,030.22 and 76,214.75 is: 105,176.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,876.95 : 193,030.22 = 76,214.75 : x
  2. Step 2: Convert to fraction form
    139,876.95/193,030.22 = 76,214.75/x
  3. Step 3: Cross multiply
    139,876.95x = 193,030.22 × 76,214.75
  4. Step 4: Simplify right side
    139,876.95x = 14,711,749,045.34
  5. Step 5: Solve for x
    x = 14,711,749,045.34/139,876.95
  6. Step 6: Final answer
    x = 105,176.36

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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.