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Finding the Fourth Proportional to 203,148.66, 280,345.92 and 112,502.64

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Solution

The fourth proportional to 203,148.66, 280,345.92 and 112,502.64 is: 155,254.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,148.66 : 280,345.92 = 112,502.64 : x
  2. Step 2: Convert to fraction form
    203,148.66/280,345.92 = 112,502.64/x
  3. Step 3: Cross multiply
    203,148.66x = 280,345.92 × 112,502.64
  4. Step 4: Simplify right side
    203,148.66x = 31,539,656,113.23
  5. Step 5: Solve for x
    x = 31,539,656,113.23/203,148.66
  6. Step 6: Final answer
    x = 155,254.07

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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.