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Finding the Fourth Proportional to 201,913.59, 278,642.62 and 111,272.81

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Solution

The fourth proportional to 201,913.59, 278,642.62 and 111,272.81 is: 153,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,913.59 : 278,642.62 = 111,272.81 : x
  2. Step 2: Convert to fraction form
    201,913.59/278,642.62 = 111,272.81/x
  3. Step 3: Cross multiply
    201,913.59x = 278,642.62 × 111,272.81
  4. Step 4: Simplify right side
    201,913.59x = 31,005,346,686.68
  5. Step 5: Solve for x
    x = 31,005,346,686.68/201,913.59
  6. Step 6: Final answer
    x = 153,557.50

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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.