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Finding the Fourth Proportional to 86,858.92, 130,314.30 and 49,897

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Solution

The fourth proportional to 86,858.92, 130,314.30 and 49,897 is: 74,860.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,858.92 : 130,314.30 = 49,897 : x
  2. Step 2: Convert to fraction form
    86,858.92/130,314.30 = 49,897/x
  3. Step 3: Cross multiply
    86,858.92x = 130,314.30 × 49,897
  4. Step 4: Simplify right side
    86,858.92x = 6,502,292,627.10
  5. Step 5: Solve for x
    x = 6,502,292,627.10/86,858.92
  6. Step 6: Final answer
    x = 74,860.39

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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.