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Finding the Fourth Proportional to 193,555.60, 290,477.40 and 100,013.20

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Solution

The fourth proportional to 193,555.60, 290,477.40 and 100,013.20 is: 150,094.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,555.60 : 290,477.40 = 100,013.20 : x
  2. Step 2: Convert to fraction form
    193,555.60/290,477.40 = 100,013.20/x
  3. Step 3: Cross multiply
    193,555.60x = 290,477.40 × 100,013.20
  4. Step 4: Simplify right side
    193,555.60x = 29,051,574,301.68
  5. Step 5: Solve for x
    x = 29,051,574,301.68/193,555.60
  6. Step 6: Final answer
    x = 150,094.21

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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.