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Finding the Fourth Proportional to 201,844.50, 278,545.42 and 112,420.50

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Solution

The fourth proportional to 201,844.50, 278,545.42 and 112,420.50 is: 155,140.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,844.50 : 278,545.42 = 112,420.50 : x
  2. Step 2: Convert to fraction form
    201,844.50/278,545.42 = 112,420.50/x
  3. Step 3: Cross multiply
    201,844.50x = 278,545.42 × 112,420.50
  4. Step 4: Simplify right side
    201,844.50x = 31,314,215,389.11
  5. Step 5: Solve for x
    x = 31,314,215,389.11/201,844.50
  6. Step 6: Final answer
    x = 155,140.30

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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.