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Finding the Fourth Proportional to 97,831.80, 135,010.80 and 62,013.60

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Solution

The fourth proportional to 97,831.80, 135,010.80 and 62,013.60 is: 85,580.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,831.80 : 135,010.80 = 62,013.60 : x
  2. Step 2: Convert to fraction form
    97,831.80/135,010.80 = 62,013.60/x
  3. Step 3: Cross multiply
    97,831.80x = 135,010.80 × 62,013.60
  4. Step 4: Simplify right side
    97,831.80x = 8,372,505,746.88
  5. Step 5: Solve for x
    x = 8,372,505,746.88/97,831.80
  6. Step 6: Final answer
    x = 85,580.62

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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.