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Finding the Fourth Proportional to 85,424.72, 117,854.88 and 53,582

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Solution

The fourth proportional to 85,424.72, 117,854.88 and 53,582 is: 73,923.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,424.72 : 117,854.88 = 53,582 : x
  2. Step 2: Convert to fraction form
    85,424.72/117,854.88 = 53,582/x
  3. Step 3: Cross multiply
    85,424.72x = 117,854.88 × 53,582
  4. Step 4: Simplify right side
    85,424.72x = 6,314,900,180.16
  5. Step 5: Solve for x
    x = 6,314,900,180.16/85,424.72
  6. Step 6: Final answer
    x = 73,923.57

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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.