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Finding the Fourth Proportional to 92,245.40, 138,368.10 and 83,205.80

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Solution

The fourth proportional to 92,245.40, 138,368.10 and 83,205.80 is: 124,808.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,245.40 : 138,368.10 = 83,205.80 : x
  2. Step 2: Convert to fraction form
    92,245.40/138,368.10 = 83,205.80/x
  3. Step 3: Cross multiply
    92,245.40x = 138,368.10 × 83,205.80
  4. Step 4: Simplify right side
    92,245.40x = 11,513,028,454.98
  5. Step 5: Solve for x
    x = 11,513,028,454.98/92,245.40
  6. Step 6: Final answer
    x = 124,808.70

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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.