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Finding the Fourth Proportional to 77,287.50, 106,656.75 and 43,753.50

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Solution

The fourth proportional to 77,287.50, 106,656.75 and 43,753.50 is: 60,379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,287.50 : 106,656.75 = 43,753.50 : x
  2. Step 2: Convert to fraction form
    77,287.50/106,656.75 = 43,753.50/x
  3. Step 3: Cross multiply
    77,287.50x = 106,656.75 × 43,753.50
  4. Step 4: Simplify right side
    77,287.50x = 4,666,606,111.13
  5. Step 5: Solve for x
    x = 4,666,606,111.13/77,287.50
  6. Step 6: Final answer
    x = 60,379.83

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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.