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Finding the Fourth Proportional to 145,417.65, 218,131.34 and 40,227.81

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Solution

The fourth proportional to 145,417.65, 218,131.34 and 40,227.81 is: 60,343.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,417.65 : 218,131.34 = 40,227.81 : x
  2. Step 2: Convert to fraction form
    145,417.65/218,131.34 = 40,227.81/x
  3. Step 3: Cross multiply
    145,417.65x = 218,131.34 × 40,227.81
  4. Step 4: Simplify right side
    145,417.65x = 8,774,945,899.43
  5. Step 5: Solve for x
    x = 8,774,945,899.43/145,417.65
  6. Step 6: Final answer
    x = 60,343.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.