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Finding the Fourth Proportional to 100,012.61, 138,011.82 and 54,681.57

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Solution

The fourth proportional to 100,012.61, 138,011.82 and 54,681.57 is: 75,457.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,012.61 : 138,011.82 = 54,681.57 : x
  2. Step 2: Convert to fraction form
    100,012.61/138,011.82 = 54,681.57/x
  3. Step 3: Cross multiply
    100,012.61x = 138,011.82 × 54,681.57
  4. Step 4: Simplify right side
    100,012.61x = 7,546,702,996.16
  5. Step 5: Solve for x
    x = 7,546,702,996.16/100,012.61
  6. Step 6: Final answer
    x = 75,457.51

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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.