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Finding the Fourth Proportional to 51,915.16, 77,865.42 and 16,855.24

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Solution

The fourth proportional to 51,915.16, 77,865.42 and 16,855.24 is: 25,280.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,915.16 : 77,865.42 = 16,855.24 : x
  2. Step 2: Convert to fraction form
    51,915.16/77,865.42 = 16,855.24/x
  3. Step 3: Cross multiply
    51,915.16x = 77,865.42 × 16,855.24
  4. Step 4: Simplify right side
    51,915.16x = 1,312,440,341.80
  5. Step 5: Solve for x
    x = 1,312,440,341.80/51,915.16
  6. Step 6: Final answer
    x = 25,280.48

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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.