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Finding the Fourth Proportional to 209,991.56, 314,988.59 and 52,220.01

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Solution

The fourth proportional to 209,991.56, 314,988.59 and 52,220.01 is: 78,330.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,991.56 : 314,988.59 = 52,220.01 : x
  2. Step 2: Convert to fraction form
    209,991.56/314,988.59 = 52,220.01/x
  3. Step 3: Cross multiply
    209,991.56x = 314,988.59 × 52,220.01
  4. Step 4: Simplify right side
    209,991.56x = 16,448,707,058.59
  5. Step 5: Solve for x
    x = 16,448,707,058.59/209,991.56
  6. Step 6: Final answer
    x = 78,330.33

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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.