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Finding the Fourth Proportional to 231,570.90, 347,356.35 and 91,311.30

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Solution

The fourth proportional to 231,570.90, 347,356.35 and 91,311.30 is: 136,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,570.90 : 347,356.35 = 91,311.30 : x
  2. Step 2: Convert to fraction form
    231,570.90/347,356.35 = 91,311.30/x
  3. Step 3: Cross multiply
    231,570.90x = 347,356.35 × 91,311.30
  4. Step 4: Simplify right side
    231,570.90x = 31,717,559,881.76
  5. Step 5: Solve for x
    x = 31,717,559,881.76/231,570.90
  6. Step 6: Final answer
    x = 136,966.95

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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.