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Finding the Fourth Proportional to 86,909.63, 119,935.29 and 47,165.63

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Solution

The fourth proportional to 86,909.63, 119,935.29 and 47,165.63 is: 65,088.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,909.63 : 119,935.29 = 47,165.63 : x
  2. Step 2: Convert to fraction form
    86,909.63/119,935.29 = 47,165.63/x
  3. Step 3: Cross multiply
    86,909.63x = 119,935.29 × 47,165.63
  4. Step 4: Simplify right side
    86,909.63x = 5,656,822,912.41
  5. Step 5: Solve for x
    x = 5,656,822,912.41/86,909.63
  6. Step 6: Final answer
    x = 65,088.57

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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.