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Finding the Fourth Proportional to 145,336.02, 200,517.42 and 87,957

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Solution

The fourth proportional to 145,336.02, 200,517.42 and 87,957 is: 121,352.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,336.02 : 200,517.42 = 87,957 : x
  2. Step 2: Convert to fraction form
    145,336.02/200,517.42 = 87,957/x
  3. Step 3: Cross multiply
    145,336.02x = 200,517.42 × 87,957
  4. Step 4: Simplify right side
    145,336.02x = 17,636,910,710.94
  5. Step 5: Solve for x
    x = 17,636,910,710.94/145,336.02
  6. Step 6: Final answer
    x = 121,352.65

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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.