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Finding the Fourth Proportional to 100,877.38, 139,164 and 65,078.88

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Solution

The fourth proportional to 100,877.38, 139,164 and 65,078.88 is: 89,778.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,877.38 : 139,164 = 65,078.88 : x
  2. Step 2: Convert to fraction form
    100,877.38/139,164 = 65,078.88/x
  3. Step 3: Cross multiply
    100,877.38x = 139,164 × 65,078.88
  4. Step 4: Simplify right side
    100,877.38x = 9,056,637,256.32
  5. Step 5: Solve for x
    x = 9,056,637,256.32/100,877.38
  6. Step 6: Final answer
    x = 89,778.67

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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.