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Finding the Fourth Proportional to 185,036, 255,349.72 and 100,153.76

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Solution

The fourth proportional to 185,036, 255,349.72 and 100,153.76 is: 138,212.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,036 : 255,349.72 = 100,153.76 : x
  2. Step 2: Convert to fraction form
    185,036/255,349.72 = 100,153.76/x
  3. Step 3: Cross multiply
    185,036x = 255,349.72 × 100,153.76
  4. Step 4: Simplify right side
    185,036x = 25,574,234,572.95
  5. Step 5: Solve for x
    x = 25,574,234,572.95/185,036
  6. Step 6: Final answer
    x = 138,212.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.