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Finding the Fourth Proportional to 231,708.70, 347,303.85 and 98,566.30

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Solution

The fourth proportional to 231,708.70, 347,303.85 and 98,566.30 is: 147,739.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,708.70 : 347,303.85 = 98,566.30 : x
  2. Step 2: Convert to fraction form
    231,708.70/347,303.85 = 98,566.30/x
  3. Step 3: Cross multiply
    231,708.70x = 347,303.85 × 98,566.30
  4. Step 4: Simplify right side
    231,708.70x = 34,232,455,470.26
  5. Step 5: Solve for x
    x = 34,232,455,470.26/231,708.70
  6. Step 6: Final answer
    x = 147,739.19

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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.