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Finding the Fourth Proportional to 201,507.66, 278,080.56 and 110,861.68

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Solution

The fourth proportional to 201,507.66, 278,080.56 and 110,861.68 is: 152,989.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,507.66 : 278,080.56 = 110,861.68 : x
  2. Step 2: Convert to fraction form
    201,507.66/278,080.56 = 110,861.68/x
  3. Step 3: Cross multiply
    201,507.66x = 278,080.56 × 110,861.68
  4. Step 4: Simplify right side
    201,507.66x = 30,828,478,056.94
  5. Step 5: Solve for x
    x = 30,828,478,056.94/201,507.66
  6. Step 6: Final answer
    x = 152,989.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.