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Finding the Fourth Proportional to 231,478.64, 347,245.74 and 81,688

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Solution

The fourth proportional to 231,478.64, 347,245.74 and 81,688 is: 122,541.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,478.64 : 347,245.74 = 81,688 : x
  2. Step 2: Convert to fraction form
    231,478.64/347,245.74 = 81,688/x
  3. Step 3: Cross multiply
    231,478.64x = 347,245.74 × 81,688
  4. Step 4: Simplify right side
    231,478.64x = 28,365,810,009.12
  5. Step 5: Solve for x
    x = 28,365,810,009.12/231,478.64
  6. Step 6: Final answer
    x = 122,541.80

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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.