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Finding the Fourth Proportional to 202,880.34, 279,983.16 and 112,234.77

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Solution

The fourth proportional to 202,880.34, 279,983.16 and 112,234.77 is: 154,888.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,880.34 : 279,983.16 = 112,234.77 : x
  2. Step 2: Convert to fraction form
    202,880.34/279,983.16 = 112,234.77/x
  3. Step 3: Cross multiply
    202,880.34x = 279,983.16 × 112,234.77
  4. Step 4: Simplify right side
    202,880.34x = 31,423,845,566.47
  5. Step 5: Solve for x
    x = 31,423,845,566.47/202,880.34
  6. Step 6: Final answer
    x = 154,888.57

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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.