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Finding the Fourth Proportional to 202,978.40, 280,110.68 and 112,340.60

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Solution

The fourth proportional to 202,978.40, 280,110.68 and 112,340.60 is: 155,030.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,978.40 : 280,110.68 = 112,340.60 : x
  2. Step 2: Convert to fraction form
    202,978.40/280,110.68 = 112,340.60/x
  3. Step 3: Cross multiply
    202,978.40x = 280,110.68 × 112,340.60
  4. Step 4: Simplify right side
    202,978.40x = 31,467,801,857.61
  5. Step 5: Solve for x
    x = 31,467,801,857.61/202,978.40
  6. Step 6: Final answer
    x = 155,030.30

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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.