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Finding the Fourth Proportional to 201,513, 278,089.56 and 112,089

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Solution

The fourth proportional to 201,513, 278,089.56 and 112,089 is: 154,683.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,513 : 278,089.56 = 112,089 : x
  2. Step 2: Convert to fraction form
    201,513/278,089.56 = 112,089/x
  3. Step 3: Cross multiply
    201,513x = 278,089.56 × 112,089
  4. Step 4: Simplify right side
    201,513x = 31,170,780,690.84
  5. Step 5: Solve for x
    x = 31,170,780,690.84/201,513
  6. Step 6: Final answer
    x = 154,683.72

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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.