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Finding the Fourth Proportional to 159,814.29, 239,698.80 and 65,085.78

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Solution

The fourth proportional to 159,814.29, 239,698.80 and 65,085.78 is: 97,619.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,814.29 : 239,698.80 = 65,085.78 : x
  2. Step 2: Convert to fraction form
    159,814.29/239,698.80 = 65,085.78/x
  3. Step 3: Cross multiply
    159,814.29x = 239,698.80 × 65,085.78
  4. Step 4: Simplify right side
    159,814.29x = 15,600,983,363.06
  5. Step 5: Solve for x
    x = 15,600,983,363.06/159,814.29
  6. Step 6: Final answer
    x = 97,619.45

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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.