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Finding the Fourth Proportional to 152,102.45, 228,151.08 and 45,486.65

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Solution

The fourth proportional to 152,102.45, 228,151.08 and 45,486.65 is: 68,229.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,102.45 : 228,151.08 = 45,486.65 : x
  2. Step 2: Convert to fraction form
    152,102.45/228,151.08 = 45,486.65/x
  3. Step 3: Cross multiply
    152,102.45x = 228,151.08 × 45,486.65
  4. Step 4: Simplify right side
    152,102.45x = 10,377,827,182.33
  5. Step 5: Solve for x
    x = 10,377,827,182.33/152,102.45
  6. Step 6: Final answer
    x = 68,229.19

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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.