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Finding the Fourth Proportional to 202,022.50, 278,799.69 and 112,598.50

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Solution

The fourth proportional to 202,022.50, 278,799.69 and 112,598.50 is: 155,390.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,022.50 : 278,799.69 = 112,598.50 : x
  2. Step 2: Convert to fraction form
    202,022.50/278,799.69 = 112,598.50/x
  3. Step 3: Cross multiply
    202,022.50x = 278,799.69 × 112,598.50
  4. Step 4: Simplify right side
    202,022.50x = 31,392,426,894.47
  5. Step 5: Solve for x
    x = 31,392,426,894.47/202,022.50
  6. Step 6: Final answer
    x = 155,390.75

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1.5x scale

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.