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Finding the Fourth Proportional to 159,985.49, 240,048.30 and 75,805.75

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Solution

The fourth proportional to 159,985.49, 240,048.30 and 75,805.75 is: 113,741.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,985.49 : 240,048.30 = 75,805.75 : x
  2. Step 2: Convert to fraction form
    159,985.49/240,048.30 = 75,805.75/x
  3. Step 3: Cross multiply
    159,985.49x = 240,048.30 × 75,805.75
  4. Step 4: Simplify right side
    159,985.49x = 18,197,041,417.73
  5. Step 5: Solve for x
    x = 18,197,041,417.73/159,985.49
  6. Step 6: Final answer
    x = 113,741.82

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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.