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Finding the Fourth Proportional to 142,539.22, 213,804.42 and 67,713.22

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Solution

The fourth proportional to 142,539.22, 213,804.42 and 67,713.22 is: 101,567.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,539.22 : 213,804.42 = 67,713.22 : x
  2. Step 2: Convert to fraction form
    142,539.22/213,804.42 = 67,713.22/x
  3. Step 3: Cross multiply
    142,539.22x = 213,804.42 × 67,713.22
  4. Step 4: Simplify right side
    142,539.22x = 14,477,385,728.43
  5. Step 5: Solve for x
    x = 14,477,385,728.43/142,539.22
  6. Step 6: Final answer
    x = 101,567.74

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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.