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Finding the Fourth Proportional to 83,502.16, 115,232.10 and 45,776.20

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Solution

The fourth proportional to 83,502.16, 115,232.10 and 45,776.20 is: 63,170.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,502.16 : 115,232.10 = 45,776.20 : x
  2. Step 2: Convert to fraction form
    83,502.16/115,232.10 = 45,776.20/x
  3. Step 3: Cross multiply
    83,502.16x = 115,232.10 × 45,776.20
  4. Step 4: Simplify right side
    83,502.16x = 5,274,887,656.02
  5. Step 5: Solve for x
    x = 5,274,887,656.02/83,502.16
  6. Step 6: Final answer
    x = 63,170.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.