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Finding the Fourth Proportional to 231,555, 347,332.50 and 65,343

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Solution

The fourth proportional to 231,555, 347,332.50 and 65,343 is: 98,014.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,555 : 347,332.50 = 65,343 : x
  2. Step 2: Convert to fraction form
    231,555/347,332.50 = 65,343/x
  3. Step 3: Cross multiply
    231,555x = 347,332.50 × 65,343
  4. Step 4: Simplify right side
    231,555x = 22,695,747,547.50
  5. Step 5: Solve for x
    x = 22,695,747,547.50/231,555
  6. Step 6: Final answer
    x = 98,014.50

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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.