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Finding the Fourth Proportional to 100,815.84, 150,990.48 and 97,316.64

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Solution

The fourth proportional to 100,815.84, 150,990.48 and 97,316.64 is: 145,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,815.84 : 150,990.48 = 97,316.64 : x
  2. Step 2: Convert to fraction form
    100,815.84/150,990.48 = 97,316.64/x
  3. Step 3: Cross multiply
    100,815.84x = 150,990.48 × 97,316.64
  4. Step 4: Simplify right side
    100,815.84x = 14,693,886,185.59
  5. Step 5: Solve for x
    x = 14,693,886,185.59/100,815.84
  6. Step 6: Final answer
    x = 145,749.78

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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.