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Finding the Fourth Proportional to 75,744, 104,528.88 and 42,212.16

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Solution

The fourth proportional to 75,744, 104,528.88 and 42,212.16 is: 58,253.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,744 : 104,528.88 = 42,212.16 : x
  2. Step 2: Convert to fraction form
    75,744/104,528.88 = 42,212.16/x
  3. Step 3: Cross multiply
    75,744x = 104,528.88 × 42,212.16
  4. Step 4: Simplify right side
    75,744x = 4,412,389,807.18
  5. Step 5: Solve for x
    x = 4,412,389,807.18/75,744
  6. Step 6: Final answer
    x = 58,253.98

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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.