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Finding the Fourth Proportional to 100,071, 138,098.52 and 54,749.52

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Solution

The fourth proportional to 100,071, 138,098.52 and 54,749.52 is: 75,554.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,071 : 138,098.52 = 54,749.52 : x
  2. Step 2: Convert to fraction form
    100,071/138,098.52 = 54,749.52/x
  3. Step 3: Cross multiply
    100,071x = 138,098.52 × 54,749.52
  4. Step 4: Simplify right side
    100,071x = 7,560,827,682.71
  5. Step 5: Solve for x
    x = 7,560,827,682.71/100,071
  6. Step 6: Final answer
    x = 75,554.63

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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.