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Finding the Fourth Proportional to 51,980.62, 71,729.12 and 29,312.34

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Solution

The fourth proportional to 51,980.62, 71,729.12 and 29,312.34 is: 40,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,980.62 : 71,729.12 = 29,312.34 : x
  2. Step 2: Convert to fraction form
    51,980.62/71,729.12 = 29,312.34/x
  3. Step 3: Cross multiply
    51,980.62x = 71,729.12 × 29,312.34
  4. Step 4: Simplify right side
    51,980.62x = 2,102,548,353.34
  5. Step 5: Solve for x
    x = 2,102,548,353.34/51,980.62
  6. Step 6: Final answer
    x = 40,448.70

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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.