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Finding the Fourth Proportional to 78,082.16, 117,239.88 and 76,915.76

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Solution

The fourth proportional to 78,082.16, 117,239.88 and 76,915.76 is: 115,488.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,082.16 : 117,239.88 = 76,915.76 : x
  2. Step 2: Convert to fraction form
    78,082.16/117,239.88 = 76,915.76/x
  3. Step 3: Cross multiply
    78,082.16x = 117,239.88 × 76,915.76
  4. Step 4: Simplify right side
    78,082.16x = 9,017,594,472.51
  5. Step 5: Solve for x
    x = 9,017,594,472.51/78,082.16
  6. Step 6: Final answer
    x = 115,488.54

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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.