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Finding the Fourth Proportional to 75,238.66, 103,842.57 and 51,356.62

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Solution

The fourth proportional to 75,238.66, 103,842.57 and 51,356.62 is: 70,881.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,238.66 : 103,842.57 = 51,356.62 : x
  2. Step 2: Convert to fraction form
    75,238.66/103,842.57 = 51,356.62/x
  3. Step 3: Cross multiply
    75,238.66x = 103,842.57 × 51,356.62
  4. Step 4: Simplify right side
    75,238.66x = 5,333,003,407.31
  5. Step 5: Solve for x
    x = 5,333,003,407.31/75,238.66
  6. Step 6: Final answer
    x = 70,881.16

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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.