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Finding the Fourth Proportional to 201,765.25, 278,455.49 and 112,341.25

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Solution

The fourth proportional to 201,765.25, 278,455.49 and 112,341.25 is: 155,041.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,765.25 : 278,455.49 = 112,341.25 : x
  2. Step 2: Convert to fraction form
    201,765.25/278,455.49 = 112,341.25/x
  3. Step 3: Cross multiply
    201,765.25x = 278,455.49 × 112,341.25
  4. Step 4: Simplify right side
    201,765.25x = 31,282,037,815.96
  5. Step 5: Solve for x
    x = 31,282,037,815.96/201,765.25
  6. Step 6: Final answer
    x = 155,041.75

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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.