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Finding the Fourth Proportional to 201,840.50, 278,539.90 and 112,416.50

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Solution

The fourth proportional to 201,840.50, 278,539.90 and 112,416.50 is: 155,134.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,840.50 : 278,539.90 = 112,416.50 : x
  2. Step 2: Convert to fraction form
    201,840.50/278,539.90 = 112,416.50/x
  3. Step 3: Cross multiply
    201,840.50x = 278,539.90 × 112,416.50
  4. Step 4: Simplify right side
    201,840.50x = 31,312,480,668.35
  5. Step 5: Solve for x
    x = 31,312,480,668.35/201,840.50
  6. Step 6: Final answer
    x = 155,134.78

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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.