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Finding the Fourth Proportional to 77,138.57, 106,461.09 and 43,148.95

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Solution

The fourth proportional to 77,138.57, 106,461.09 and 43,148.95 is: 59,551.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,138.57 : 106,461.09 = 43,148.95 : x
  2. Step 2: Convert to fraction form
    77,138.57/106,461.09 = 43,148.95/x
  3. Step 3: Cross multiply
    77,138.57x = 106,461.09 × 43,148.95
  4. Step 4: Simplify right side
    77,138.57x = 4,593,683,983.20
  5. Step 5: Solve for x
    x = 4,593,683,983.20/77,138.57
  6. Step 6: Final answer
    x = 59,551.06

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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.