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Finding the Fourth Proportional to 103,538.32, 155,384.64 and 76,945.60

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Solution

The fourth proportional to 103,538.32, 155,384.64 and 76,945.60 is: 115,475.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,538.32 : 155,384.64 = 76,945.60 : x
  2. Step 2: Convert to fraction form
    103,538.32/155,384.64 = 76,945.60/x
  3. Step 3: Cross multiply
    103,538.32x = 155,384.64 × 76,945.60
  4. Step 4: Simplify right side
    103,538.32x = 11,956,164,355.58
  5. Step 5: Solve for x
    x = 11,956,164,355.58/103,538.32
  6. Step 6: Final answer
    x = 115,475.74

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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.