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Finding the Fourth Proportional to 146,023.60, 218,905.80 and 86,796.40

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Solution

The fourth proportional to 146,023.60, 218,905.80 and 86,796.40 is: 130,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,023.60 : 218,905.80 = 86,796.40 : x
  2. Step 2: Convert to fraction form
    146,023.60/218,905.80 = 86,796.40/x
  3. Step 3: Cross multiply
    146,023.60x = 218,905.80 × 86,796.40
  4. Step 4: Simplify right side
    146,023.60x = 19,000,235,379.12
  5. Step 5: Solve for x
    x = 19,000,235,379.12/146,023.60
  6. Step 6: Final answer
    x = 130,117.57

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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.