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Finding the Fourth Proportional to 101,282.10, 152,018.46 and 51,397.98

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Solution

The fourth proportional to 101,282.10, 152,018.46 and 51,397.98 is: 77,145.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,282.10 : 152,018.46 = 51,397.98 : x
  2. Step 2: Convert to fraction form
    101,282.10/152,018.46 = 51,397.98/x
  3. Step 3: Cross multiply
    101,282.10x = 152,018.46 × 51,397.98
  4. Step 4: Simplify right side
    101,282.10x = 7,813,441,766.71
  5. Step 5: Solve for x
    x = 7,813,441,766.71/101,282.10
  6. Step 6: Final answer
    x = 77,145.34

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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.