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Finding the Fourth Proportional to 72,482.33, 100,029.75 and 40,648.70

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Solution

The fourth proportional to 72,482.33, 100,029.75 and 40,648.70 is: 56,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,482.33 : 100,029.75 = 40,648.70 : x
  2. Step 2: Convert to fraction form
    72,482.33/100,029.75 = 40,648.70/x
  3. Step 3: Cross multiply
    72,482.33x = 100,029.75 × 40,648.70
  4. Step 4: Simplify right side
    72,482.33x = 4,066,079,298.83
  5. Step 5: Solve for x
    x = 4,066,079,298.83/72,482.33
  6. Step 6: Final answer
    x = 56,097.52

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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.