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Finding the Fourth Proportional to 89,323.86, 133,810.61 and 51,805.11

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Solution

The fourth proportional to 89,323.86, 133,810.61 and 51,805.11 is: 77,606.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,323.86 : 133,810.61 = 51,805.11 : x
  2. Step 2: Convert to fraction form
    89,323.86/133,810.61 = 51,805.11/x
  3. Step 3: Cross multiply
    89,323.86x = 133,810.61 × 51,805.11
  4. Step 4: Simplify right side
    89,323.86x = 6,932,073,111.19
  5. Step 5: Solve for x
    x = 6,932,073,111.19/89,323.86
  6. Step 6: Final answer
    x = 77,606.06

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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.