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Finding the Fourth Proportional to 202,953.91, 280,072.19 and 112,309.81

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Solution

The fourth proportional to 202,953.91, 280,072.19 and 112,309.81 is: 154,985.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,953.91 : 280,072.19 = 112,309.81 : x
  2. Step 2: Convert to fraction form
    202,953.91/280,072.19 = 112,309.81/x
  3. Step 3: Cross multiply
    202,953.91x = 280,072.19 × 112,309.81
  4. Step 4: Simplify right side
    202,953.91x = 31,454,854,445.18
  5. Step 5: Solve for x
    x = 31,454,854,445.18/202,953.91
  6. Step 6: Final answer
    x = 154,985.21

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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.