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Finding the Fourth Proportional to 202,235.60, 279,140.64 and 117,380

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Solution

The fourth proportional to 202,235.60, 279,140.64 and 117,380 is: 162,016.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,235.60 : 279,140.64 = 117,380 : x
  2. Step 2: Convert to fraction form
    202,235.60/279,140.64 = 117,380/x
  3. Step 3: Cross multiply
    202,235.60x = 279,140.64 × 117,380
  4. Step 4: Simplify right side
    202,235.60x = 32,765,528,323.20
  5. Step 5: Solve for x
    x = 32,765,528,323.20/202,235.60
  6. Step 6: Final answer
    x = 162,016.62

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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.