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Finding the Fourth Proportional to 71,417.40, 107,082.90 and 31,967.16

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Solution

The fourth proportional to 71,417.40, 107,082.90 and 31,967.16 is: 47,931.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,417.40 : 107,082.90 = 31,967.16 : x
  2. Step 2: Convert to fraction form
    71,417.40/107,082.90 = 31,967.16/x
  3. Step 3: Cross multiply
    71,417.40x = 107,082.90 × 31,967.16
  4. Step 4: Simplify right side
    71,417.40x = 3,423,136,197.56
  5. Step 5: Solve for x
    x = 3,423,136,197.56/71,417.40
  6. Step 6: Final answer
    x = 47,931.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.