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Finding the Fourth Proportional to 71,491.86, 98,647.65 and 40,864.50

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Solution

The fourth proportional to 71,491.86, 98,647.65 and 40,864.50 is: 56,386.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,491.86 : 98,647.65 = 40,864.50 : x
  2. Step 2: Convert to fraction form
    71,491.86/98,647.65 = 40,864.50/x
  3. Step 3: Cross multiply
    71,491.86x = 98,647.65 × 40,864.50
  4. Step 4: Simplify right side
    71,491.86x = 4,031,186,893.43
  5. Step 5: Solve for x
    x = 4,031,186,893.43/71,491.86
  6. Step 6: Final answer
    x = 56,386.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.