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Finding the Fourth Proportional to 137,355.66, 206,103.75 and 65,389.89

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Solution

The fourth proportional to 137,355.66, 206,103.75 and 65,389.89 is: 98,118.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,355.66 : 206,103.75 = 65,389.89 : x
  2. Step 2: Convert to fraction form
    137,355.66/206,103.75 = 65,389.89/x
  3. Step 3: Cross multiply
    137,355.66x = 206,103.75 × 65,389.89
  4. Step 4: Simplify right side
    137,355.66x = 13,477,101,214.14
  5. Step 5: Solve for x
    x = 13,477,101,214.14/137,355.66
  6. Step 6: Final answer
    x = 98,118.28

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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.