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Finding the Fourth Proportional to 201,455, 278,002.08 and 110,810.96

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Solution

The fourth proportional to 201,455, 278,002.08 and 110,810.96 is: 152,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,455 : 278,002.08 = 110,810.96 : x
  2. Step 2: Convert to fraction form
    201,455/278,002.08 = 110,810.96/x
  3. Step 3: Cross multiply
    201,455x = 278,002.08 × 110,810.96
  4. Step 4: Simplify right side
    201,455x = 30,805,677,366.80
  5. Step 5: Solve for x
    x = 30,805,677,366.80/201,455
  6. Step 6: Final answer
    x = 152,915.92

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1.5x scale

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.