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Finding the Fourth Proportional to 100,501.40, 150,751.93 and 78,331.40

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Solution

The fourth proportional to 100,501.40, 150,751.93 and 78,331.40 is: 117,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,501.40 : 150,751.93 = 78,331.40 : x
  2. Step 2: Convert to fraction form
    100,501.40/150,751.93 = 78,331.40/x
  3. Step 3: Cross multiply
    100,501.40x = 150,751.93 × 78,331.40
  4. Step 4: Simplify right side
    100,501.40x = 11,808,608,780.01
  5. Step 5: Solve for x
    x = 11,808,608,780.01/100,501.40
  6. Step 6: Final answer
    x = 117,496.96

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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.