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Finding the Fourth Proportional to 75,685, 104,448.54 and 42,151

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Solution

The fourth proportional to 75,685, 104,448.54 and 42,151 is: 58,170.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,685 : 104,448.54 = 42,151 : x
  2. Step 2: Convert to fraction form
    75,685/104,448.54 = 42,151/x
  3. Step 3: Cross multiply
    75,685x = 104,448.54 × 42,151
  4. Step 4: Simplify right side
    75,685x = 4,402,610,409.54
  5. Step 5: Solve for x
    x = 4,402,610,409.54/75,685
  6. Step 6: Final answer
    x = 58,170.18

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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.