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Finding the Fourth Proportional to 201,806.62, 278,437.73 and 140,484.11

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Solution

The fourth proportional to 201,806.62, 278,437.73 and 140,484.11 is: 193,829.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,806.62 : 278,437.73 = 140,484.11 : x
  2. Step 2: Convert to fraction form
    201,806.62/278,437.73 = 140,484.11/x
  3. Step 3: Cross multiply
    201,806.62x = 278,437.73 × 140,484.11
  4. Step 4: Simplify right side
    201,806.62x = 39,116,076,683.14
  5. Step 5: Solve for x
    x = 39,116,076,683.14/201,806.62
  6. Step 6: Final answer
    x = 193,829.50

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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.