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Finding the Fourth Proportional to 77,315.50, 106,695.39 and 43,787.98

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Solution

The fourth proportional to 77,315.50, 106,695.39 and 43,787.98 is: 60,427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,315.50 : 106,695.39 = 43,787.98 : x
  2. Step 2: Convert to fraction form
    77,315.50/106,695.39 = 43,787.98/x
  3. Step 3: Cross multiply
    77,315.50x = 106,695.39 × 43,787.98
  4. Step 4: Simplify right side
    77,315.50x = 4,671,975,603.41
  5. Step 5: Solve for x
    x = 4,671,975,603.41/77,315.50
  6. Step 6: Final answer
    x = 60,427.41

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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.