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Finding the Fourth Proportional to 143,386.60, 215,123.10 and 76,858.60

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Solution

The fourth proportional to 143,386.60, 215,123.10 and 76,858.60 is: 115,311.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,386.60 : 215,123.10 = 76,858.60 : x
  2. Step 2: Convert to fraction form
    143,386.60/215,123.10 = 76,858.60/x
  3. Step 3: Cross multiply
    143,386.60x = 215,123.10 × 76,858.60
  4. Step 4: Simplify right side
    143,386.60x = 16,534,060,293.66
  5. Step 5: Solve for x
    x = 16,534,060,293.66/143,386.60
  6. Step 6: Final answer
    x = 115,311.06

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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.