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Finding the Fourth Proportional to 202,953.40, 280,071.50 and 112,309.31

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Solution

The fourth proportional to 202,953.40, 280,071.50 and 112,309.31 is: 154,984.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,953.40 : 280,071.50 = 112,309.31 : x
  2. Step 2: Convert to fraction form
    202,953.40/280,071.50 = 112,309.31/x
  3. Step 3: Cross multiply
    202,953.40x = 280,071.50 × 112,309.31
  4. Step 4: Simplify right side
    202,953.40x = 31,454,636,915.67
  5. Step 5: Solve for x
    x = 31,454,636,915.67/202,953.40
  6. Step 6: Final answer
    x = 154,984.53

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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.