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Finding the Fourth Proportional to 78,082.64, 107,680.29 and 51,248.42

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Solution

The fourth proportional to 78,082.64, 107,680.29 and 51,248.42 is: 70,674.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,082.64 : 107,680.29 = 51,248.42 : x
  2. Step 2: Convert to fraction form
    78,082.64/107,680.29 = 51,248.42/x
  3. Step 3: Cross multiply
    78,082.64x = 107,680.29 × 51,248.42
  4. Step 4: Simplify right side
    78,082.64x = 5,518,444,727.64
  5. Step 5: Solve for x
    x = 5,518,444,727.64/78,082.64
  6. Step 6: Final answer
    x = 70,674.41

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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.