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Finding the Fourth Proportional to 100,271.52, 138,374.86 and 54,942.30

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Solution

The fourth proportional to 100,271.52, 138,374.86 and 54,942.30 is: 75,820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,271.52 : 138,374.86 = 54,942.30 : x
  2. Step 2: Convert to fraction form
    100,271.52/138,374.86 = 54,942.30/x
  3. Step 3: Cross multiply
    100,271.52x = 138,374.86 × 54,942.30
  4. Step 4: Simplify right side
    100,271.52x = 7,602,633,070.58
  5. Step 5: Solve for x
    x = 7,602,633,070.58/100,271.52
  6. Step 6: Final answer
    x = 75,820.46

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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.