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Finding the Fourth Proportional to 201,442.14, 278,008.20 and 110,816.10

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Solution

The fourth proportional to 201,442.14, 278,008.20 and 110,816.10 is: 152,936.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,442.14 : 278,008.20 = 110,816.10 : x
  2. Step 2: Convert to fraction form
    201,442.14/278,008.20 = 110,816.10/x
  3. Step 3: Cross multiply
    201,442.14x = 278,008.20 × 110,816.10
  4. Step 4: Simplify right side
    201,442.14x = 30,807,784,492.02
  5. Step 5: Solve for x
    x = 30,807,784,492.02/201,442.14
  6. Step 6: Final answer
    x = 152,936.15

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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.