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Finding the Fourth Proportional to 194,715.80, 268,707.72 and 105,291.80

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Solution

The fourth proportional to 194,715.80, 268,707.72 and 105,291.80 is: 145,302.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,715.80 : 268,707.72 = 105,291.80 : x
  2. Step 2: Convert to fraction form
    194,715.80/268,707.72 = 105,291.80/x
  3. Step 3: Cross multiply
    194,715.80x = 268,707.72 × 105,291.80
  4. Step 4: Simplify right side
    194,715.80x = 28,292,719,512.70
  5. Step 5: Solve for x
    x = 28,292,719,512.70/194,715.80
  6. Step 6: Final answer
    x = 145,302.64

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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.