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Finding the Fourth Proportional to 100,400, 138,552 and 55,688

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Solution

The fourth proportional to 100,400, 138,552 and 55,688 is: 76,849.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,400 : 138,552 = 55,688 : x
  2. Step 2: Convert to fraction form
    100,400/138,552 = 55,688/x
  3. Step 3: Cross multiply
    100,400x = 138,552 × 55,688
  4. Step 4: Simplify right side
    100,400x = 7,715,683,776
  5. Step 5: Solve for x
    x = 7,715,683,776/100,400
  6. Step 6: Final answer
    x = 76,849.44

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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.