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Finding the Fourth Proportional to 202,207.50, 279,046.35 and 112,783.50

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Solution

The fourth proportional to 202,207.50, 279,046.35 and 112,783.50 is: 155,641.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,207.50 : 279,046.35 = 112,783.50 : x
  2. Step 2: Convert to fraction form
    202,207.50/279,046.35 = 112,783.50/x
  3. Step 3: Cross multiply
    202,207.50x = 279,046.35 × 112,783.50
  4. Step 4: Simplify right side
    202,207.50x = 31,471,824,015.23
  5. Step 5: Solve for x
    x = 31,471,824,015.23/202,207.50
  6. Step 6: Final answer
    x = 155,641.23

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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.