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Finding the Fourth Proportional to 75,688, 104,452.68 and 42,154

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Solution

The fourth proportional to 75,688, 104,452.68 and 42,154 is: 58,174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,688 : 104,452.68 = 42,154 : x
  2. Step 2: Convert to fraction form
    75,688/104,452.68 = 42,154/x
  3. Step 3: Cross multiply
    75,688x = 104,452.68 × 42,154
  4. Step 4: Simplify right side
    75,688x = 4,403,098,272.72
  5. Step 5: Solve for x
    x = 4,403,098,272.72/75,688
  6. Step 6: Final answer
    x = 58,174.32

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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.