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Finding the Fourth Proportional to 162,155.94, 243,278.49 and 77,986.50

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Solution

The fourth proportional to 162,155.94, 243,278.49 and 77,986.50 is: 117,001.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,155.94 : 243,278.49 = 77,986.50 : x
  2. Step 2: Convert to fraction form
    162,155.94/243,278.49 = 77,986.50/x
  3. Step 3: Cross multiply
    162,155.94x = 243,278.49 × 77,986.50
  4. Step 4: Simplify right side
    162,155.94x = 18,972,437,960.39
  5. Step 5: Solve for x
    x = 18,972,437,960.39/162,155.94
  6. Step 6: Final answer
    x = 117,001.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.