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Finding the Fourth Proportional to 137,447.80, 206,051.70 and 53,265.40

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Solution

The fourth proportional to 137,447.80, 206,051.70 and 53,265.40 is: 79,851.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,447.80 : 206,051.70 = 53,265.40 : x
  2. Step 2: Convert to fraction form
    137,447.80/206,051.70 = 53,265.40/x
  3. Step 3: Cross multiply
    137,447.80x = 206,051.70 × 53,265.40
  4. Step 4: Simplify right side
    137,447.80x = 10,975,426,221.18
  5. Step 5: Solve for x
    x = 10,975,426,221.18/137,447.80
  6. Step 6: Final answer
    x = 79,851.60

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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.