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Finding the Fourth Proportional to 209,805.60, 314,708.11 and 97,424.36

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Solution

The fourth proportional to 209,805.60, 314,708.11 and 97,424.36 is: 146,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,805.60 : 314,708.11 = 97,424.36 : x
  2. Step 2: Convert to fraction form
    209,805.60/314,708.11 = 97,424.36/x
  3. Step 3: Cross multiply
    209,805.60x = 314,708.11 × 97,424.36
  4. Step 4: Simplify right side
    209,805.60x = 30,660,237,112.11
  5. Step 5: Solve for x
    x = 30,660,237,112.11/209,805.60
  6. Step 6: Final answer
    x = 146,136.41

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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.