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Finding the Fourth Proportional to 310,792.15, 466,142.04 and 86,129.16

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Solution

The fourth proportional to 310,792.15, 466,142.04 and 86,129.16 is: 129,180.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,792.15 : 466,142.04 = 86,129.16 : x
  2. Step 2: Convert to fraction form
    310,792.15/466,142.04 = 86,129.16/x
  3. Step 3: Cross multiply
    310,792.15x = 466,142.04 × 86,129.16
  4. Step 4: Simplify right side
    310,792.15x = 40,148,422,564.39
  5. Step 5: Solve for x
    x = 40,148,422,564.39/310,792.15
  6. Step 6: Final answer
    x = 129,180.94

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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.