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Finding the Fourth Proportional to 143,406.63, 197,905.95 and 78,878.60

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Solution

The fourth proportional to 143,406.63, 197,905.95 and 78,878.60 is: 108,855.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,406.63 : 197,905.95 = 78,878.60 : x
  2. Step 2: Convert to fraction form
    143,406.63/197,905.95 = 78,878.60/x
  3. Step 3: Cross multiply
    143,406.63x = 197,905.95 × 78,878.60
  4. Step 4: Simplify right side
    143,406.63x = 15,610,543,278.14
  5. Step 5: Solve for x
    x = 15,610,543,278.14/143,406.63
  6. Step 6: Final answer
    x = 108,855.10

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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.