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Finding the Fourth Proportional to 101,830.50, 152,799.21 and 73,980.81

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Solution

The fourth proportional to 101,830.50, 152,799.21 and 73,980.81 is: 111,010.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,830.50 : 152,799.21 = 73,980.81 : x
  2. Step 2: Convert to fraction form
    101,830.50/152,799.21 = 73,980.81/x
  3. Step 3: Cross multiply
    101,830.50x = 152,799.21 × 73,980.81
  4. Step 4: Simplify right side
    101,830.50x = 11,304,209,323.16
  5. Step 5: Solve for x
    x = 11,304,209,323.16/101,830.50
  6. Step 6: Final answer
    x = 111,010.05

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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.