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Finding the Fourth Proportional to 202,384.78, 279,269.79 and 117,485.26

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Solution

The fourth proportional to 202,384.78, 279,269.79 and 117,485.26 is: 162,117.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,384.78 : 279,269.79 = 117,485.26 : x
  2. Step 2: Convert to fraction form
    202,384.78/279,269.79 = 117,485.26/x
  3. Step 3: Cross multiply
    202,384.78x = 279,269.79 × 117,485.26
  4. Step 4: Simplify right side
    202,384.78x = 32,810,083,888.30
  5. Step 5: Solve for x
    x = 32,810,083,888.30/202,384.78
  6. Step 6: Final answer
    x = 162,117.35

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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.