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Finding the Fourth Proportional to 202,014.88, 278,782.47 and 111,374.16

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Solution

The fourth proportional to 202,014.88, 278,782.47 and 111,374.16 is: 153,697.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,014.88 : 278,782.47 = 111,374.16 : x
  2. Step 2: Convert to fraction form
    202,014.88/278,782.47 = 111,374.16/x
  3. Step 3: Cross multiply
    202,014.88x = 278,782.47 × 111,374.16
  4. Step 4: Simplify right side
    202,014.88x = 31,049,163,418.98
  5. Step 5: Solve for x
    x = 31,049,163,418.98/202,014.88
  6. Step 6: Final answer
    x = 153,697.41

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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.