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Finding the Fourth Proportional to 230,497.30, 345,794.55 and 72,741.70

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Solution

The fourth proportional to 230,497.30, 345,794.55 and 72,741.70 is: 109,127.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,497.30 : 345,794.55 = 72,741.70 : x
  2. Step 2: Convert to fraction form
    230,497.30/345,794.55 = 72,741.70/x
  3. Step 3: Cross multiply
    230,497.30x = 345,794.55 × 72,741.70
  4. Step 4: Simplify right side
    230,497.30x = 25,153,683,417.74
  5. Step 5: Solve for x
    x = 25,153,683,417.74/230,497.30
  6. Step 6: Final answer
    x = 109,127.89

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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.