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Finding the Fourth Proportional to 121,123, 181,690.98 and 38,023.48

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Solution

The fourth proportional to 121,123, 181,690.98 and 38,023.48 is: 57,037.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,123 : 181,690.98 = 38,023.48 : x
  2. Step 2: Convert to fraction form
    121,123/181,690.98 = 38,023.48/x
  3. Step 3: Cross multiply
    121,123x = 181,690.98 × 38,023.48
  4. Step 4: Simplify right side
    121,123x = 6,908,523,344.21
  5. Step 5: Solve for x
    x = 6,908,523,344.21/121,123
  6. Step 6: Final answer
    x = 57,037.25

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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.