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Finding the Fourth Proportional to 101,959.25, 152,971.38 and 42,779.03

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Solution

The fourth proportional to 101,959.25, 152,971.38 and 42,779.03 is: 64,182.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,959.25 : 152,971.38 = 42,779.03 : x
  2. Step 2: Convert to fraction form
    101,959.25/152,971.38 = 42,779.03/x
  3. Step 3: Cross multiply
    101,959.25x = 152,971.38 × 42,779.03
  4. Step 4: Simplify right side
    101,959.25x = 6,543,967,040.27
  5. Step 5: Solve for x
    x = 6,543,967,040.27/101,959.25
  6. Step 6: Final answer
    x = 64,182.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.