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Finding the Fourth Proportional to 109,306.63, 150,908.76 and 71,646.49

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Solution

The fourth proportional to 109,306.63, 150,908.76 and 71,646.49 is: 98,915.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,306.63 : 150,908.76 = 71,646.49 : x
  2. Step 2: Convert to fraction form
    109,306.63/150,908.76 = 71,646.49/x
  3. Step 3: Cross multiply
    109,306.63x = 150,908.76 × 71,646.49
  4. Step 4: Simplify right side
    109,306.63x = 10,812,081,851.48
  5. Step 5: Solve for x
    x = 10,812,081,851.48/109,306.63
  6. Step 6: Final answer
    x = 98,915.16

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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.