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Finding the Fourth Proportional to 202,065.72, 278,783.01 and 130,494.12

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Solution

The fourth proportional to 202,065.72, 278,783.01 and 130,494.12 is: 180,038.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,065.72 : 278,783.01 = 130,494.12 : x
  2. Step 2: Convert to fraction form
    202,065.72/278,783.01 = 130,494.12/x
  3. Step 3: Cross multiply
    202,065.72x = 278,783.01 × 130,494.12
  4. Step 4: Simplify right side
    202,065.72x = 36,379,543,560.90
  5. Step 5: Solve for x
    x = 36,379,543,560.90/202,065.72
  6. Step 6: Final answer
    x = 180,038.18

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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.