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Finding the Fourth Proportional to 71,008.42, 97,968.74 and 47,139.70

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Solution

The fourth proportional to 71,008.42, 97,968.74 and 47,139.70 is: 65,037.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,008.42 : 97,968.74 = 47,139.70 : x
  2. Step 2: Convert to fraction form
    71,008.42/97,968.74 = 47,139.70/x
  3. Step 3: Cross multiply
    71,008.42x = 97,968.74 × 47,139.70
  4. Step 4: Simplify right side
    71,008.42x = 4,618,217,012.98
  5. Step 5: Solve for x
    x = 4,618,217,012.98/71,008.42
  6. Step 6: Final answer
    x = 65,037.60

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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.