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Finding the Fourth Proportional to 202,014, 278,787.96 and 112,590

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Solution

The fourth proportional to 202,014, 278,787.96 and 112,590 is: 155,379.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,014 : 278,787.96 = 112,590 : x
  2. Step 2: Convert to fraction form
    202,014/278,787.96 = 112,590/x
  3. Step 3: Cross multiply
    202,014x = 278,787.96 × 112,590
  4. Step 4: Simplify right side
    202,014x = 31,388,736,416.40
  5. Step 5: Solve for x
    x = 31,388,736,416.40/202,014
  6. Step 6: Final answer
    x = 155,379.02

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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.