Home / 102,005.22-152,724.06-51,977.46

Finding the Fourth Proportional to 102,005.22, 152,724.06 and 51,977.46

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Solution

The fourth proportional to 102,005.22, 152,724.06 and 51,977.46 is: 77,821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,005.22 : 152,724.06 = 51,977.46 : x
  2. Step 2: Convert to fraction form
    102,005.22/152,724.06 = 51,977.46/x
  3. Step 3: Cross multiply
    102,005.22x = 152,724.06 × 51,977.46
  4. Step 4: Simplify right side
    102,005.22x = 7,938,208,719.69
  5. Step 5: Solve for x
    x = 7,938,208,719.69/102,005.22
  6. Step 6: Final answer
    x = 77,821.59

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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.