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Finding the Fourth Proportional to 203,089.95, 280,274.49 and 112,455.95

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Solution

The fourth proportional to 203,089.95, 280,274.49 and 112,455.95 is: 155,194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,089.95 : 280,274.49 = 112,455.95 : x
  2. Step 2: Convert to fraction form
    203,089.95/280,274.49 = 112,455.95/x
  3. Step 3: Cross multiply
    203,089.95x = 280,274.49 × 112,455.95
  4. Step 4: Simplify right side
    203,089.95x = 31,518,532,632.34
  5. Step 5: Solve for x
    x = 31,518,532,632.34/203,089.95
  6. Step 6: Final answer
    x = 155,194.94

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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.