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Finding the Fourth Proportional to 102,694.80, 153,975.60 and 43,514.40

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Solution

The fourth proportional to 102,694.80, 153,975.60 and 43,514.40 is: 65,243.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,694.80 : 153,975.60 = 43,514.40 : x
  2. Step 2: Convert to fraction form
    102,694.80/153,975.60 = 43,514.40/x
  3. Step 3: Cross multiply
    102,694.80x = 153,975.60 × 43,514.40
  4. Step 4: Simplify right side
    102,694.80x = 6,700,155,848.64
  5. Step 5: Solve for x
    x = 6,700,155,848.64/102,694.80
  6. Step 6: Final answer
    x = 65,243.38

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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.