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Finding the Fourth Proportional to 72,580, 100,152.72 and 40,752.48

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Solution

The fourth proportional to 72,580, 100,152.72 and 40,752.48 is: 56,234.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,580 : 100,152.72 = 40,752.48 : x
  2. Step 2: Convert to fraction form
    72,580/100,152.72 = 40,752.48/x
  3. Step 3: Cross multiply
    72,580x = 100,152.72 × 40,752.48
  4. Step 4: Simplify right side
    72,580x = 4,081,471,718.75
  5. Step 5: Solve for x
    x = 4,081,471,718.75/72,580
  6. Step 6: Final answer
    x = 56,234.11

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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.