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Finding the Fourth Proportional to 100,192.62, 138,266.03 and 54,252.76

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Solution

The fourth proportional to 100,192.62, 138,266.03 and 54,252.76 is: 74,868.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,192.62 : 138,266.03 = 54,252.76 : x
  2. Step 2: Convert to fraction form
    100,192.62/138,266.03 = 54,252.76/x
  3. Step 3: Cross multiply
    100,192.62x = 138,266.03 × 54,252.76
  4. Step 4: Simplify right side
    100,192.62x = 7,501,314,102.94
  5. Step 5: Solve for x
    x = 7,501,314,102.94/100,192.62
  6. Step 6: Final answer
    x = 74,868.93

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1.5x scale

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.