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Finding the Fourth Proportional to 209,572.79, 314,111.63 and 89,594.64

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Solution

The fourth proportional to 209,572.79, 314,111.63 and 89,594.64 is: 134,286.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,572.79 : 314,111.63 = 89,594.64 : x
  2. Step 2: Convert to fraction form
    209,572.79/314,111.63 = 89,594.64/x
  3. Step 3: Cross multiply
    209,572.79x = 314,111.63 × 89,594.64
  4. Step 4: Simplify right side
    209,572.79x = 28,142,717,961.69
  5. Step 5: Solve for x
    x = 28,142,717,961.69/209,572.79
  6. Step 6: Final answer
    x = 134,286.13

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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.