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Finding the Fourth Proportional to 209,385.25, 289,002.99 and 118,794.25

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Solution

The fourth proportional to 209,385.25, 289,002.99 and 118,794.25 is: 163,965.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,385.25 : 289,002.99 = 118,794.25 : x
  2. Step 2: Convert to fraction form
    209,385.25/289,002.99 = 118,794.25/x
  3. Step 3: Cross multiply
    209,385.25x = 289,002.99 × 118,794.25
  4. Step 4: Simplify right side
    209,385.25x = 34,331,893,444.81
  5. Step 5: Solve for x
    x = 34,331,893,444.81/209,385.25
  6. Step 6: Final answer
    x = 163,965.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.