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Finding the Fourth Proportional to 206,894.60, 310,341.90 and 122,913.80

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Solution

The fourth proportional to 206,894.60, 310,341.90 and 122,913.80 is: 184,370.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,894.60 : 310,341.90 = 122,913.80 : x
  2. Step 2: Convert to fraction form
    206,894.60/310,341.90 = 122,913.80/x
  3. Step 3: Cross multiply
    206,894.60x = 310,341.90 × 122,913.80
  4. Step 4: Simplify right side
    206,894.60x = 38,145,302,228.22
  5. Step 5: Solve for x
    x = 38,145,302,228.22/206,894.60
  6. Step 6: Final answer
    x = 184,370.70

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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.