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Finding the Fourth Proportional to 201,699.90, 278,345.86 and 112,275.90

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Solution

The fourth proportional to 201,699.90, 278,345.86 and 112,275.90 is: 154,940.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,699.90 : 278,345.86 = 112,275.90 : x
  2. Step 2: Convert to fraction form
    201,699.90/278,345.86 = 112,275.90/x
  3. Step 3: Cross multiply
    201,699.90x = 278,345.86 × 112,275.90
  4. Step 4: Simplify right side
    201,699.90x = 31,251,531,662.08
  5. Step 5: Solve for x
    x = 31,251,531,662.08/201,699.90
  6. Step 6: Final answer
    x = 154,940.74

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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.