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Finding the Fourth Proportional to 153,909.72, 230,809.23 and 65,169.63

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Solution

The fourth proportional to 153,909.72, 230,809.23 and 65,169.63 is: 97,731.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,909.72 : 230,809.23 = 65,169.63 : x
  2. Step 2: Convert to fraction form
    153,909.72/230,809.23 = 65,169.63/x
  3. Step 3: Cross multiply
    153,909.72x = 230,809.23 × 65,169.63
  4. Step 4: Simplify right side
    153,909.72x = 15,041,752,119.68
  5. Step 5: Solve for x
    x = 15,041,752,119.68/153,909.72
  6. Step 6: Final answer
    x = 97,731.01

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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.