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Finding the Fourth Proportional to 209,892.79, 314,885.96 and 76,770.10

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Solution

The fourth proportional to 209,892.79, 314,885.96 and 76,770.10 is: 115,172.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,892.79 : 314,885.96 = 76,770.10 : x
  2. Step 2: Convert to fraction form
    209,892.79/314,885.96 = 76,770.10/x
  3. Step 3: Cross multiply
    209,892.79x = 314,885.96 × 76,770.10
  4. Step 4: Simplify right side
    209,892.79x = 24,173,826,637.80
  5. Step 5: Solve for x
    x = 24,173,826,637.80/209,892.79
  6. Step 6: Final answer
    x = 115,172.26

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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.