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Finding the Fourth Proportional to 72,709.64, 100,342.20 and 40,878.44

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Solution

The fourth proportional to 72,709.64, 100,342.20 and 40,878.44 is: 56,413.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,709.64 : 100,342.20 = 40,878.44 : x
  2. Step 2: Convert to fraction form
    72,709.64/100,342.20 = 40,878.44/x
  3. Step 3: Cross multiply
    72,709.64x = 100,342.20 × 40,878.44
  4. Step 4: Simplify right side
    72,709.64x = 4,101,832,602.17
  5. Step 5: Solve for x
    x = 4,101,832,602.17/72,709.64
  6. Step 6: Final answer
    x = 56,413.88

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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.