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Finding the Fourth Proportional to 77,906, 107,508 and 43,916.48

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Solution

The fourth proportional to 77,906, 107,508 and 43,916.48 is: 60,603.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,906 : 107,508 = 43,916.48 : x
  2. Step 2: Convert to fraction form
    77,906/107,508 = 43,916.48/x
  3. Step 3: Cross multiply
    77,906x = 107,508 × 43,916.48
  4. Step 4: Simplify right side
    77,906x = 4,721,372,931.84
  5. Step 5: Solve for x
    x = 4,721,372,931.84/77,906
  6. Step 6: Final answer
    x = 60,603.46

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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.