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Finding the Fourth Proportional to 142,135.08, 213,314.08 and 99,161.04

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Solution

The fourth proportional to 142,135.08, 213,314.08 and 99,161.04 is: 148,819.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,135.08 : 213,314.08 = 99,161.04 : x
  2. Step 2: Convert to fraction form
    142,135.08/213,314.08 = 99,161.04/x
  3. Step 3: Cross multiply
    142,135.08x = 213,314.08 × 99,161.04
  4. Step 4: Simplify right side
    142,135.08x = 21,152,446,019.44
  5. Step 5: Solve for x
    x = 21,152,446,019.44/142,135.08
  6. Step 6: Final answer
    x = 148,819.32

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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.