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Finding the Fourth Proportional to 77,428, 106,844.88 and 43,893.28

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Solution

The fourth proportional to 77,428, 106,844.88 and 43,893.28 is: 60,569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,428 : 106,844.88 = 43,893.28 : x
  2. Step 2: Convert to fraction form
    77,428/106,844.88 = 43,893.28/x
  3. Step 3: Cross multiply
    77,428x = 106,844.88 × 43,893.28
  4. Step 4: Simplify right side
    77,428x = 4,689,772,234.41
  5. Step 5: Solve for x
    x = 4,689,772,234.41/77,428
  6. Step 6: Final answer
    x = 60,569.46

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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.