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Finding the Fourth Proportional to 206,730.40, 310,095.60 and 122,749.60

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Solution

The fourth proportional to 206,730.40, 310,095.60 and 122,749.60 is: 184,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,730.40 : 310,095.60 = 122,749.60 : x
  2. Step 2: Convert to fraction form
    206,730.40/310,095.60 = 122,749.60/x
  3. Step 3: Cross multiply
    206,730.40x = 310,095.60 × 122,749.60
  4. Step 4: Simplify right side
    206,730.40x = 38,064,110,861.76
  5. Step 5: Solve for x
    x = 38,064,110,861.76/206,730.40
  6. Step 6: Final answer
    x = 184,124.40

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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.