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Finding the Fourth Proportional to 123,677.84, 185,543.98 and 70,394.90

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Solution

The fourth proportional to 123,677.84, 185,543.98 and 70,394.90 is: 105,607.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,677.84 : 185,543.98 = 70,394.90 : x
  2. Step 2: Convert to fraction form
    123,677.84/185,543.98 = 70,394.90/x
  3. Step 3: Cross multiply
    123,677.84x = 185,543.98 × 70,394.90
  4. Step 4: Simplify right side
    123,677.84x = 13,061,348,813.99
  5. Step 5: Solve for x
    x = 13,061,348,813.99/123,677.84
  6. Step 6: Final answer
    x = 105,607.83

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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.