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Finding the Fourth Proportional to 156,477.57, 215,969.67 and 102,761.21

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Solution

The fourth proportional to 156,477.57, 215,969.67 and 102,761.21 is: 141,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,477.57 : 215,969.67 = 102,761.21 : x
  2. Step 2: Convert to fraction form
    156,477.57/215,969.67 = 102,761.21/x
  3. Step 3: Cross multiply
    156,477.57x = 215,969.67 × 102,761.21
  4. Step 4: Simplify right side
    156,477.57x = 22,193,303,532.65
  5. Step 5: Solve for x
    x = 22,193,303,532.65/156,477.57
  6. Step 6: Final answer
    x = 141,830.57

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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.