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Finding the Fourth Proportional to 100,232, 138,320.46 and 55,520

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Solution

The fourth proportional to 100,232, 138,320.46 and 55,520 is: 76,617.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,232 : 138,320.46 = 55,520 : x
  2. Step 2: Convert to fraction form
    100,232/138,320.46 = 55,520/x
  3. Step 3: Cross multiply
    100,232x = 138,320.46 × 55,520
  4. Step 4: Simplify right side
    100,232x = 7,679,551,939.20
  5. Step 5: Solve for x
    x = 7,679,551,939.20/100,232
  6. Step 6: Final answer
    x = 76,617.77

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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.