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Finding the Fourth Proportional to 310,105.92, 465,070.32 and 85,409.76

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Solution

The fourth proportional to 310,105.92, 465,070.32 and 85,409.76 is: 128,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,105.92 : 465,070.32 = 85,409.76 : x
  2. Step 2: Convert to fraction form
    310,105.92/465,070.32 = 85,409.76/x
  3. Step 3: Cross multiply
    310,105.92x = 465,070.32 × 85,409.76
  4. Step 4: Simplify right side
    310,105.92x = 39,721,544,414.32
  5. Step 5: Solve for x
    x = 39,721,544,414.32/310,105.92
  6. Step 6: Final answer
    x = 128,090.25

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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.