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Finding the Fourth Proportional to 537,787, 806,731.26 and 158,709.16

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Solution

The fourth proportional to 537,787, 806,731.26 and 158,709.16 is: 238,078.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,787 : 806,731.26 = 158,709.16 : x
  2. Step 2: Convert to fraction form
    537,787/806,731.26 = 158,709.16/x
  3. Step 3: Cross multiply
    537,787x = 806,731.26 × 158,709.16
  4. Step 4: Simplify right side
    537,787x = 128,035,640,620.34
  5. Step 5: Solve for x
    x = 128,035,640,620.34/537,787
  6. Step 6: Final answer
    x = 238,078.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.