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Finding the Fourth Proportional to 145,822, 201,234.36 and 78,754

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Solution

The fourth proportional to 145,822, 201,234.36 and 78,754 is: 108,680.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,822 : 201,234.36 = 78,754 : x
  2. Step 2: Convert to fraction form
    145,822/201,234.36 = 78,754/x
  3. Step 3: Cross multiply
    145,822x = 201,234.36 × 78,754
  4. Step 4: Simplify right side
    145,822x = 15,848,010,787.44
  5. Step 5: Solve for x
    x = 15,848,010,787.44/145,822
  6. Step 6: Final answer
    x = 108,680.52

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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.