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Finding the Fourth Proportional to 72,178, 99,605.64 and 40,346.22

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Solution

The fourth proportional to 72,178, 99,605.64 and 40,346.22 is: 55,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,178 : 99,605.64 = 40,346.22 : x
  2. Step 2: Convert to fraction form
    72,178/99,605.64 = 40,346.22/x
  3. Step 3: Cross multiply
    72,178x = 99,605.64 × 40,346.22
  4. Step 4: Simplify right side
    72,178x = 4,018,711,064.68
  5. Step 5: Solve for x
    x = 4,018,711,064.68/72,178
  6. Step 6: Final answer
    x = 55,677.78

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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.