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Finding the Fourth Proportional to 139,108, 208,702.32 and 40,612

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Solution

The fourth proportional to 139,108, 208,702.32 and 40,612 is: 60,929.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,108 : 208,702.32 = 40,612 : x
  2. Step 2: Convert to fraction form
    139,108/208,702.32 = 40,612/x
  3. Step 3: Cross multiply
    139,108x = 208,702.32 × 40,612
  4. Step 4: Simplify right side
    139,108x = 8,475,818,619.84
  5. Step 5: Solve for x
    x = 8,475,818,619.84/139,108
  6. Step 6: Final answer
    x = 60,929.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.