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Finding the Fourth Proportional to 202,232.40, 279,078 and 111,586.08

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Solution

The fourth proportional to 202,232.40, 279,078 and 111,586.08 is: 153,987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,232.40 : 279,078 = 111,586.08 : x
  2. Step 2: Convert to fraction form
    202,232.40/279,078 = 111,586.08/x
  3. Step 3: Cross multiply
    202,232.40x = 279,078 × 111,586.08
  4. Step 4: Simplify right side
    202,232.40x = 31,141,220,034.24
  5. Step 5: Solve for x
    x = 31,141,220,034.24/202,232.40
  6. Step 6: Final answer
    x = 153,987.29

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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.