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Finding the Fourth Proportional to 153,636, 230,454 and 36,900

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Solution

The fourth proportional to 153,636, 230,454 and 36,900 is: 55,350

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,636 : 230,454 = 36,900 : x
  2. Step 2: Convert to fraction form
    153,636/230,454 = 36,900/x
  3. Step 3: Cross multiply
    153,636x = 230,454 × 36,900
  4. Step 4: Simplify right side
    153,636x = 8,503,752,600
  5. Step 5: Solve for x
    x = 8,503,752,600/153,636
  6. Step 6: Final answer
    x = 55,350

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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.