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Finding the Fourth Proportional to 85,281.49, 117,696.51 and 48,988

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Solution

The fourth proportional to 85,281.49, 117,696.51 and 48,988 is: 67,608.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,281.49 : 117,696.51 = 48,988 : x
  2. Step 2: Convert to fraction form
    85,281.49/117,696.51 = 48,988/x
  3. Step 3: Cross multiply
    85,281.49x = 117,696.51 × 48,988
  4. Step 4: Simplify right side
    85,281.49x = 5,765,716,631.88
  5. Step 5: Solve for x
    x = 5,765,716,631.88/85,281.49
  6. Step 6: Final answer
    x = 67,608.07

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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.