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Finding the Fourth Proportional to 83,666.16, 115,459.44 and 45,942.80

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Solution

The fourth proportional to 83,666.16, 115,459.44 and 45,942.80 is: 63,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,666.16 : 115,459.44 = 45,942.80 : x
  2. Step 2: Convert to fraction form
    83,666.16/115,459.44 = 45,942.80/x
  3. Step 3: Cross multiply
    83,666.16x = 115,459.44 × 45,942.80
  4. Step 4: Simplify right side
    83,666.16x = 5,304,529,960.03
  5. Step 5: Solve for x
    x = 5,304,529,960.03/83,666.16
  6. Step 6: Final answer
    x = 63,401.14

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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.