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Finding the Fourth Proportional to 209,893.11, 314,861.58 and 89,962.08

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Solution

The fourth proportional to 209,893.11, 314,861.58 and 89,962.08 is: 134,952.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,893.11 : 314,861.58 = 89,962.08 : x
  2. Step 2: Convert to fraction form
    209,893.11/314,861.58 = 89,962.08/x
  3. Step 3: Cross multiply
    209,893.11x = 314,861.58 × 89,962.08
  4. Step 4: Simplify right side
    209,893.11x = 28,325,602,648.89
  5. Step 5: Solve for x
    x = 28,325,602,648.89/209,893.11
  6. Step 6: Final answer
    x = 134,952.51

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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.