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Finding the Fourth Proportional to 100,457.01, 150,685.51 and 78,286.97

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Solution

The fourth proportional to 100,457.01, 150,685.51 and 78,286.97 is: 117,430.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,457.01 : 150,685.51 = 78,286.97 : x
  2. Step 2: Convert to fraction form
    100,457.01/150,685.51 = 78,286.97/x
  3. Step 3: Cross multiply
    100,457.01x = 150,685.51 × 78,286.97
  4. Step 4: Simplify right side
    100,457.01x = 11,796,712,000.80
  5. Step 5: Solve for x
    x = 11,796,712,000.80/100,457.01
  6. Step 6: Final answer
    x = 117,430.45

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1.5x scale

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.