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Finding the Fourth Proportional to 101,820.84, 152,871.02 and 51,934.56

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Solution

The fourth proportional to 101,820.84, 152,871.02 and 51,934.56 is: 77,973.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,820.84 : 152,871.02 = 51,934.56 : x
  2. Step 2: Convert to fraction form
    101,820.84/152,871.02 = 51,934.56/x
  3. Step 3: Cross multiply
    101,820.84x = 152,871.02 × 51,934.56
  4. Step 4: Simplify right side
    101,820.84x = 7,939,289,160.45
  5. Step 5: Solve for x
    x = 7,939,289,160.45/101,820.84
  6. Step 6: Final answer
    x = 77,973.13

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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.