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Finding the Fourth Proportional to 137,210.60, 205,815.90 and 38,714.60

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Solution

The fourth proportional to 137,210.60, 205,815.90 and 38,714.60 is: 58,071.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,210.60 : 205,815.90 = 38,714.60 : x
  2. Step 2: Convert to fraction form
    137,210.60/205,815.90 = 38,714.60/x
  3. Step 3: Cross multiply
    137,210.60x = 205,815.90 × 38,714.60
  4. Step 4: Simplify right side
    137,210.60x = 7,968,080,242.14
  5. Step 5: Solve for x
    x = 7,968,080,242.14/137,210.60
  6. Step 6: Final answer
    x = 58,071.90

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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.