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Finding the Fourth Proportional to 137,210.81, 205,809.98 and 57,215.79

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Solution

The fourth proportional to 137,210.81, 205,809.98 and 57,215.79 is: 85,821.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,210.81 : 205,809.98 = 57,215.79 : x
  2. Step 2: Convert to fraction form
    137,210.81/205,809.98 = 57,215.79/x
  3. Step 3: Cross multiply
    137,210.81x = 205,809.98 × 57,215.79
  4. Step 4: Simplify right side
    137,210.81x = 11,775,580,309.51
  5. Step 5: Solve for x
    x = 11,775,580,309.51/137,210.81
  6. Step 6: Final answer
    x = 85,821.09

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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.