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Finding the Fourth Proportional to 137,559.68, 206,369.21 and 42,788.06

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Solution

The fourth proportional to 137,559.68, 206,369.21 and 42,788.06 is: 64,191.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,559.68 : 206,369.21 = 42,788.06 : x
  2. Step 2: Convert to fraction form
    137,559.68/206,369.21 = 42,788.06/x
  3. Step 3: Cross multiply
    137,559.68x = 206,369.21 × 42,788.06
  4. Step 4: Simplify right side
    137,559.68x = 8,830,137,214.76
  5. Step 5: Solve for x
    x = 8,830,137,214.76/137,559.68
  6. Step 6: Final answer
    x = 64,191.32

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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.