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Finding the Fourth Proportional to 134,203.46, 185,200.71 and 73,778

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Solution

The fourth proportional to 134,203.46, 185,200.71 and 73,778 is: 101,813.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,203.46 : 185,200.71 = 73,778 : x
  2. Step 2: Convert to fraction form
    134,203.46/185,200.71 = 73,778/x
  3. Step 3: Cross multiply
    134,203.46x = 185,200.71 × 73,778
  4. Step 4: Simplify right side
    134,203.46x = 13,663,737,982.38
  5. Step 5: Solve for x
    x = 13,663,737,982.38/134,203.46
  6. Step 6: Final answer
    x = 101,813.60

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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.