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Finding the Fourth Proportional to 72,742.78, 100,412.22 and 47,592.28

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Solution

The fourth proportional to 72,742.78, 100,412.22 and 47,592.28 is: 65,695.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,742.78 : 100,412.22 = 47,592.28 : x
  2. Step 2: Convert to fraction form
    72,742.78/100,412.22 = 47,592.28/x
  3. Step 3: Cross multiply
    72,742.78x = 100,412.22 × 47,592.28
  4. Step 4: Simplify right side
    72,742.78x = 4,778,846,489.66
  5. Step 5: Solve for x
    x = 4,778,846,489.66/72,742.78
  6. Step 6: Final answer
    x = 65,695.13

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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.