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Finding the Fourth Proportional to 100,597.50, 138,827.52 and 55,278.30

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Solution

The fourth proportional to 100,597.50, 138,827.52 and 55,278.30 is: 76,285.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,597.50 : 138,827.52 = 55,278.30 : x
  2. Step 2: Convert to fraction form
    100,597.50/138,827.52 = 55,278.30/x
  3. Step 3: Cross multiply
    100,597.50x = 138,827.52 × 55,278.30
  4. Step 4: Simplify right side
    100,597.50x = 7,674,149,298.82
  5. Step 5: Solve for x
    x = 7,674,149,298.82/100,597.50
  6. Step 6: Final answer
    x = 76,285.69

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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.