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Finding the Fourth Proportional to 197,724, 272,860.08 and 108,300

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Solution

The fourth proportional to 197,724, 272,860.08 and 108,300 is: 149,454.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,724 : 272,860.08 = 108,300 : x
  2. Step 2: Convert to fraction form
    197,724/272,860.08 = 108,300/x
  3. Step 3: Cross multiply
    197,724x = 272,860.08 × 108,300
  4. Step 4: Simplify right side
    197,724x = 29,550,746,664
  5. Step 5: Solve for x
    x = 29,550,746,664/197,724
  6. Step 6: Final answer
    x = 149,454.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.