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Finding the Fourth Proportional to 86,859.92, 130,315.80 and 49,898

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Solution

The fourth proportional to 86,859.92, 130,315.80 and 49,898 is: 74,861.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,859.92 : 130,315.80 = 49,898 : x
  2. Step 2: Convert to fraction form
    86,859.92/130,315.80 = 49,898/x
  3. Step 3: Cross multiply
    86,859.92x = 130,315.80 × 49,898
  4. Step 4: Simplify right side
    86,859.92x = 6,502,497,788.40
  5. Step 5: Solve for x
    x = 6,502,497,788.40/86,859.92
  6. Step 6: Final answer
    x = 74,861.89

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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.