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Finding the Fourth Proportional to 100,461.84, 150,720.48 and 81,695.40

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Solution

The fourth proportional to 100,461.84, 150,720.48 and 81,695.40 is: 122,565.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,461.84 : 150,720.48 = 81,695.40 : x
  2. Step 2: Convert to fraction form
    100,461.84/150,720.48 = 81,695.40/x
  3. Step 3: Cross multiply
    100,461.84x = 150,720.48 × 81,695.40
  4. Step 4: Simplify right side
    100,461.84x = 12,313,169,901.79
  5. Step 5: Solve for x
    x = 12,313,169,901.79/100,461.84
  6. Step 6: Final answer
    x = 122,565.64

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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.