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Finding the Fourth Proportional to 202,045.30, 278,773.32 and 130,409.98

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Solution

The fourth proportional to 202,045.30, 278,773.32 and 130,409.98 is: 179,934.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,045.30 : 278,773.32 = 130,409.98 : x
  2. Step 2: Convert to fraction form
    202,045.30/278,773.32 = 130,409.98/x
  3. Step 3: Cross multiply
    202,045.30x = 278,773.32 × 130,409.98
  4. Step 4: Simplify right side
    202,045.30x = 36,354,823,085.73
  5. Step 5: Solve for x
    x = 36,354,823,085.73/202,045.30
  6. Step 6: Final answer
    x = 179,934.02

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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.