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Finding the Fourth Proportional to 201,915.72, 278,656.02 and 111,271.68

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Solution

The fourth proportional to 201,915.72, 278,656.02 and 111,271.68 is: 153,561.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,915.72 : 278,656.02 = 111,271.68 : x
  2. Step 2: Convert to fraction form
    201,915.72/278,656.02 = 111,271.68/x
  3. Step 3: Cross multiply
    201,915.72x = 278,656.02 × 111,271.68
  4. Step 4: Simplify right side
    201,915.72x = 31,006,523,487.51
  5. Step 5: Solve for x
    x = 31,006,523,487.51/201,915.72
  6. Step 6: Final answer
    x = 153,561.71

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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.