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Finding the Fourth Proportional to 83,655.96, 115,416.96 and 47,820.60

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Solution

The fourth proportional to 83,655.96, 115,416.96 and 47,820.60 is: 65,976.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,655.96 : 115,416.96 = 47,820.60 : x
  2. Step 2: Convert to fraction form
    83,655.96/115,416.96 = 47,820.60/x
  3. Step 3: Cross multiply
    83,655.96x = 115,416.96 × 47,820.60
  4. Step 4: Simplify right side
    83,655.96x = 5,519,308,277.38
  5. Step 5: Solve for x
    x = 5,519,308,277.38/83,655.96
  6. Step 6: Final answer
    x = 65,976.27

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1.5x scale

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.