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Finding the Fourth Proportional to 144,165.89, 216,248.85 and 65,278.37

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Solution

The fourth proportional to 144,165.89, 216,248.85 and 65,278.37 is: 97,917.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,165.89 : 216,248.85 = 65,278.37 : x
  2. Step 2: Convert to fraction form
    144,165.89/216,248.85 = 65,278.37/x
  3. Step 3: Cross multiply
    144,165.89x = 216,248.85 × 65,278.37
  4. Step 4: Simplify right side
    144,165.89x = 14,116,372,442.37
  5. Step 5: Solve for x
    x = 14,116,372,442.37/144,165.89
  6. Step 6: Final answer
    x = 97,917.56

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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.