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Finding the Fourth Proportional to 74,678.65, 103,057.44 and 42,850.51

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Solution

The fourth proportional to 74,678.65, 103,057.44 and 42,850.51 is: 59,134.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,678.65 : 103,057.44 = 42,850.51 : x
  2. Step 2: Convert to fraction form
    74,678.65/103,057.44 = 42,850.51/x
  3. Step 3: Cross multiply
    74,678.65x = 103,057.44 × 42,850.51
  4. Step 4: Simplify right side
    74,678.65x = 4,416,063,863.29
  5. Step 5: Solve for x
    x = 4,416,063,863.29/74,678.65
  6. Step 6: Final answer
    x = 59,134.22

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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.