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Finding the Fourth Proportional to 101,913.58, 152,184.09 and 83,230.70

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Solution

The fourth proportional to 101,913.58, 152,184.09 and 83,230.70 is: 124,285.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,913.58 : 152,184.09 = 83,230.70 : x
  2. Step 2: Convert to fraction form
    101,913.58/152,184.09 = 83,230.70/x
  3. Step 3: Cross multiply
    101,913.58x = 152,184.09 × 83,230.70
  4. Step 4: Simplify right side
    101,913.58x = 12,666,387,923.41
  5. Step 5: Solve for x
    x = 12,666,387,923.41/101,913.58
  6. Step 6: Final answer
    x = 124,285.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.