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Finding the Fourth Proportional to 151,408.29, 208,947.65 and 86,882.98

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Solution

The fourth proportional to 151,408.29, 208,947.65 and 86,882.98 is: 119,900.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,408.29 : 208,947.65 = 86,882.98 : x
  2. Step 2: Convert to fraction form
    151,408.29/208,947.65 = 86,882.98/x
  3. Step 3: Cross multiply
    151,408.29x = 208,947.65 × 86,882.98
  4. Step 4: Simplify right side
    151,408.29x = 18,153,994,419.71
  5. Step 5: Solve for x
    x = 18,153,994,419.71/151,408.29
  6. Step 6: Final answer
    x = 119,900.93

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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.