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Finding the Fourth Proportional to 121,756.64, 168,131.06 and 76,513

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Solution

The fourth proportional to 121,756.64, 168,131.06 and 76,513 is: 105,655.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,756.64 : 168,131.06 = 76,513 : x
  2. Step 2: Convert to fraction form
    121,756.64/168,131.06 = 76,513/x
  3. Step 3: Cross multiply
    121,756.64x = 168,131.06 × 76,513
  4. Step 4: Simplify right side
    121,756.64x = 12,864,211,793.78
  5. Step 5: Solve for x
    x = 12,864,211,793.78/121,756.64
  6. Step 6: Final answer
    x = 105,655.11

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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.