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Finding the Fourth Proportional to 201,985.44, 278,752.40 and 111,340.96

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Solution

The fourth proportional to 201,985.44, 278,752.40 and 111,340.96 is: 153,657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,985.44 : 278,752.40 = 111,340.96 : x
  2. Step 2: Convert to fraction form
    201,985.44/278,752.40 = 111,340.96/x
  3. Step 3: Cross multiply
    201,985.44x = 278,752.40 × 111,340.96
  4. Step 4: Simplify right side
    201,985.44x = 31,036,559,818.30
  5. Step 5: Solve for x
    x = 31,036,559,818.30/201,985.44
  6. Step 6: Final answer
    x = 153,657.41

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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.