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Finding the Fourth Proportional to 137,457.81, 206,219.52 and 48,719.07

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Solution

The fourth proportional to 137,457.81, 206,219.52 and 48,719.07 is: 73,090.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,457.81 : 206,219.52 = 48,719.07 : x
  2. Step 2: Convert to fraction form
    137,457.81/206,219.52 = 48,719.07/x
  3. Step 3: Cross multiply
    137,457.81x = 206,219.52 × 48,719.07
  4. Step 4: Simplify right side
    137,457.81x = 10,046,823,230.25
  5. Step 5: Solve for x
    x = 10,046,823,230.25/137,457.81
  6. Step 6: Final answer
    x = 73,090.23

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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.