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Finding the Fourth Proportional to 78,342.49, 108,033.24 and 67,049.47

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Solution

The fourth proportional to 78,342.49, 108,033.24 and 67,049.47 is: 92,460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,342.49 : 108,033.24 = 67,049.47 : x
  2. Step 2: Convert to fraction form
    78,342.49/108,033.24 = 67,049.47/x
  3. Step 3: Cross multiply
    78,342.49x = 108,033.24 × 67,049.47
  4. Step 4: Simplify right side
    78,342.49x = 7,243,571,484.38
  5. Step 5: Solve for x
    x = 7,243,571,484.38/78,342.49
  6. Step 6: Final answer
    x = 92,460.32

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1.5x scale

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.