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Finding the Fourth Proportional to 86,857.92, 130,312.80 and 49,896

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Solution

The fourth proportional to 86,857.92, 130,312.80 and 49,896 is: 74,858.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,857.92 : 130,312.80 = 49,896 : x
  2. Step 2: Convert to fraction form
    86,857.92/130,312.80 = 49,896/x
  3. Step 3: Cross multiply
    86,857.92x = 130,312.80 × 49,896
  4. Step 4: Simplify right side
    86,857.92x = 6,502,087,468.80
  5. Step 5: Solve for x
    x = 6,502,087,468.80/86,857.92
  6. Step 6: Final answer
    x = 74,858.89

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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.