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Finding the Fourth Proportional to 145,871.34, 218,648.80 and 74,696.32

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Solution

The fourth proportional to 145,871.34, 218,648.80 and 74,696.32 is: 111,963.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,871.34 : 218,648.80 = 74,696.32 : x
  2. Step 2: Convert to fraction form
    145,871.34/218,648.80 = 74,696.32/x
  3. Step 3: Cross multiply
    145,871.34x = 218,648.80 × 74,696.32
  4. Step 4: Simplify right side
    145,871.34x = 16,332,260,732.42
  5. Step 5: Solve for x
    x = 16,332,260,732.42/145,871.34
  6. Step 6: Final answer
    x = 111,963.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.