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Finding the Fourth Proportional to 202,325.31, 279,208.98 and 111,681.31

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Solution

The fourth proportional to 202,325.31, 279,208.98 and 111,681.31 is: 154,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,325.31 : 279,208.98 = 111,681.31 : x
  2. Step 2: Convert to fraction form
    202,325.31/279,208.98 = 111,681.31/x
  3. Step 3: Cross multiply
    202,325.31x = 279,208.98 × 111,681.31
  4. Step 4: Simplify right side
    202,325.31x = 31,182,424,091.76
  5. Step 5: Solve for x
    x = 31,182,424,091.76/202,325.31
  6. Step 6: Final answer
    x = 154,120.23

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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.