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Finding the Fourth Proportional to 73,971, 102,082.50 and 40,439.16

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Solution

The fourth proportional to 73,971, 102,082.50 and 40,439.16 is: 55,807.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,971 : 102,082.50 = 40,439.16 : x
  2. Step 2: Convert to fraction form
    73,971/102,082.50 = 40,439.16/x
  3. Step 3: Cross multiply
    73,971x = 102,082.50 × 40,439.16
  4. Step 4: Simplify right side
    73,971x = 4,128,130,550.70
  5. Step 5: Solve for x
    x = 4,128,130,550.70/73,971
  6. Step 6: Final answer
    x = 55,807.42

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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.