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Finding the Fourth Proportional to 139,607.70, 209,516.80 and 102,263.46

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Solution

The fourth proportional to 139,607.70, 209,516.80 and 102,263.46 is: 153,472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,607.70 : 209,516.80 = 102,263.46 : x
  2. Step 2: Convert to fraction form
    139,607.70/209,516.80 = 102,263.46/x
  3. Step 3: Cross multiply
    139,607.70x = 209,516.80 × 102,263.46
  4. Step 4: Simplify right side
    139,607.70x = 21,425,912,640.47
  5. Step 5: Solve for x
    x = 21,425,912,640.47/139,607.70
  6. Step 6: Final answer
    x = 153,472.28

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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.