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Finding the Fourth Proportional to 75,687, 104,451.30 and 42,153

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Solution

The fourth proportional to 75,687, 104,451.30 and 42,153 is: 58,172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,687 : 104,451.30 = 42,153 : x
  2. Step 2: Convert to fraction form
    75,687/104,451.30 = 42,153/x
  3. Step 3: Cross multiply
    75,687x = 104,451.30 × 42,153
  4. Step 4: Simplify right side
    75,687x = 4,402,935,648.90
  5. Step 5: Solve for x
    x = 4,402,935,648.90/75,687
  6. Step 6: Final answer
    x = 58,172.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.