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Finding the Fourth Proportional to 101,000.70, 139,329.66 and 77,085.87

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Solution

The fourth proportional to 101,000.70, 139,329.66 and 77,085.87 is: 106,339.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,000.70 : 139,329.66 = 77,085.87 : x
  2. Step 2: Convert to fraction form
    101,000.70/139,329.66 = 77,085.87/x
  3. Step 3: Cross multiply
    101,000.70x = 139,329.66 × 77,085.87
  4. Step 4: Simplify right side
    101,000.70x = 10,740,348,057.90
  5. Step 5: Solve for x
    x = 10,740,348,057.90/101,000.70
  6. Step 6: Final answer
    x = 106,339.34

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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.