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Finding the Fourth Proportional to 101,686.98, 152,670.18 and 51,800.70

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Solution

The fourth proportional to 101,686.98, 152,670.18 and 51,800.70 is: 77,772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,686.98 : 152,670.18 = 51,800.70 : x
  2. Step 2: Convert to fraction form
    101,686.98/152,670.18 = 51,800.70/x
  3. Step 3: Cross multiply
    101,686.98x = 152,670.18 × 51,800.70
  4. Step 4: Simplify right side
    101,686.98x = 7,908,422,193.13
  5. Step 5: Solve for x
    x = 7,908,422,193.13/101,686.98
  6. Step 6: Final answer
    x = 77,772.22

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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.