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Finding the Fourth Proportional to 137,980.74, 206,931.12 and 53,722.14

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Solution

The fourth proportional to 137,980.74, 206,931.12 and 53,722.14 is: 80,567.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,980.74 : 206,931.12 = 53,722.14 : x
  2. Step 2: Convert to fraction form
    137,980.74/206,931.12 = 53,722.14/x
  3. Step 3: Cross multiply
    137,980.74x = 206,931.12 × 53,722.14
  4. Step 4: Simplify right side
    137,980.74x = 11,116,782,599.00
  5. Step 5: Solve for x
    x = 11,116,782,599.00/137,980.74
  6. Step 6: Final answer
    x = 80,567.64

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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.