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Finding the Fourth Proportional to 159,987, 240,019.38 and 49,179

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Solution

The fourth proportional to 159,987, 240,019.38 and 49,179 is: 73,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,987 : 240,019.38 = 49,179 : x
  2. Step 2: Convert to fraction form
    159,987/240,019.38 = 49,179/x
  3. Step 3: Cross multiply
    159,987x = 240,019.38 × 49,179
  4. Step 4: Simplify right side
    159,987x = 11,803,913,089.02
  5. Step 5: Solve for x
    x = 11,803,913,089.02/159,987
  6. Step 6: Final answer
    x = 73,780.45

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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.