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Finding the Fourth Proportional to 137,421.60, 206,110.80 and 48,662.40

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Solution

The fourth proportional to 137,421.60, 206,110.80 and 48,662.40 is: 72,985.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,421.60 : 206,110.80 = 48,662.40 : x
  2. Step 2: Convert to fraction form
    137,421.60/206,110.80 = 48,662.40/x
  3. Step 3: Cross multiply
    137,421.60x = 206,110.80 × 48,662.40
  4. Step 4: Simplify right side
    137,421.60x = 10,029,846,193.92
  5. Step 5: Solve for x
    x = 10,029,846,193.92/137,421.60
  6. Step 6: Final answer
    x = 72,985.95

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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.