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Finding the Fourth Proportional to 202,935.18, 280,031.48 and 137,390.68

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Solution

The fourth proportional to 202,935.18, 280,031.48 and 137,390.68 is: 189,586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,935.18 : 280,031.48 = 137,390.68 : x
  2. Step 2: Convert to fraction form
    202,935.18/280,031.48 = 137,390.68/x
  3. Step 3: Cross multiply
    202,935.18x = 280,031.48 × 137,390.68
  4. Step 4: Simplify right side
    202,935.18x = 38,473,715,458.61
  5. Step 5: Solve for x
    x = 38,473,715,458.61/202,935.18
  6. Step 6: Final answer
    x = 189,586.23

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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.