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Finding the Fourth Proportional to 201,461.12, 278,007.80 and 110,811.34

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Solution

The fourth proportional to 201,461.12, 278,007.80 and 110,811.34 is: 152,914.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,461.12 : 278,007.80 = 110,811.34 : x
  2. Step 2: Convert to fraction form
    201,461.12/278,007.80 = 110,811.34/x
  3. Step 3: Cross multiply
    201,461.12x = 278,007.80 × 110,811.34
  4. Step 4: Simplify right side
    201,461.12x = 30,806,416,641.91
  5. Step 5: Solve for x
    x = 30,806,416,641.91/201,461.12
  6. Step 6: Final answer
    x = 152,914.94

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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.