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Finding the Fourth Proportional to 201,855.61, 278,530.31 and 114,627.12

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Solution

The fourth proportional to 201,855.61, 278,530.31 and 114,627.12 is: 158,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,855.61 : 278,530.31 = 114,627.12 : x
  2. Step 2: Convert to fraction form
    201,855.61/278,530.31 = 114,627.12/x
  3. Step 3: Cross multiply
    201,855.61x = 278,530.31 × 114,627.12
  4. Step 4: Simplify right side
    201,855.61x = 31,927,126,510.09
  5. Step 5: Solve for x
    x = 31,927,126,510.09/201,855.61
  6. Step 6: Final answer
    x = 158,168.14

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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.