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Finding the Fourth Proportional to 203,091.83, 280,275.47 and 112,447.79

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Solution

The fourth proportional to 203,091.83, 280,275.47 and 112,447.79 is: 155,182.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,091.83 : 280,275.47 = 112,447.79 : x
  2. Step 2: Convert to fraction form
    203,091.83/280,275.47 = 112,447.79/x
  3. Step 3: Cross multiply
    203,091.83x = 280,275.47 × 112,447.79
  4. Step 4: Simplify right side
    203,091.83x = 31,516,357,192.71
  5. Step 5: Solve for x
    x = 31,516,357,192.71/203,091.83
  6. Step 6: Final answer
    x = 155,182.79

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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.