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Finding the Fourth Proportional to 77,456.58, 106,881.28 and 43,457.97

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Solution

The fourth proportional to 77,456.58, 106,881.28 and 43,457.97 is: 59,967.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,456.58 : 106,881.28 = 43,457.97 : x
  2. Step 2: Convert to fraction form
    77,456.58/106,881.28 = 43,457.97/x
  3. Step 3: Cross multiply
    77,456.58x = 106,881.28 × 43,457.97
  4. Step 4: Simplify right side
    77,456.58x = 4,644,843,459.80
  5. Step 5: Solve for x
    x = 4,644,843,459.80/77,456.58
  6. Step 6: Final answer
    x = 59,967.06

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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.