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Finding the Fourth Proportional to 86,215.78, 118,977.75 and 48,490

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Solution

The fourth proportional to 86,215.78, 118,977.75 and 48,490 is: 66,916.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,215.78 : 118,977.75 = 48,490 : x
  2. Step 2: Convert to fraction form
    86,215.78/118,977.75 = 48,490/x
  3. Step 3: Cross multiply
    86,215.78x = 118,977.75 × 48,490
  4. Step 4: Simplify right side
    86,215.78x = 5,769,231,097.50
  5. Step 5: Solve for x
    x = 5,769,231,097.50/86,215.78
  6. Step 6: Final answer
    x = 66,916.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.