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Finding the Fourth Proportional to 101,283.10, 152,019.96 and 51,398.98

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Solution

The fourth proportional to 101,283.10, 152,019.96 and 51,398.98 is: 77,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,283.10 : 152,019.96 = 51,398.98 : x
  2. Step 2: Convert to fraction form
    101,283.10/152,019.96 = 51,398.98/x
  3. Step 3: Cross multiply
    101,283.10x = 152,019.96 × 51,398.98
  4. Step 4: Simplify right side
    101,283.10x = 7,813,670,883.64
  5. Step 5: Solve for x
    x = 7,813,670,883.64/101,283.10
  6. Step 6: Final answer
    x = 77,146.84

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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.