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Finding the Fourth Proportional to 136,709, 205,071.18 and 38,220.68

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Solution

The fourth proportional to 136,709, 205,071.18 and 38,220.68 is: 57,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,709 : 205,071.18 = 38,220.68 : x
  2. Step 2: Convert to fraction form
    136,709/205,071.18 = 38,220.68/x
  3. Step 3: Cross multiply
    136,709x = 205,071.18 × 38,220.68
  4. Step 4: Simplify right side
    136,709x = 7,837,959,948.00
  5. Step 5: Solve for x
    x = 7,837,959,948.00/136,709
  6. Step 6: Final answer
    x = 57,333.17

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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.