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Finding the Fourth Proportional to 102,197.80, 141,035.70 and 61,903

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Solution

The fourth proportional to 102,197.80, 141,035.70 and 61,903 is: 85,427.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,197.80 : 141,035.70 = 61,903 : x
  2. Step 2: Convert to fraction form
    102,197.80/141,035.70 = 61,903/x
  3. Step 3: Cross multiply
    102,197.80x = 141,035.70 × 61,903
  4. Step 4: Simplify right side
    102,197.80x = 8,730,532,937.10
  5. Step 5: Solve for x
    x = 8,730,532,937.10/102,197.80
  6. Step 6: Final answer
    x = 85,427.80

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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.