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Finding the Fourth Proportional to 104,156.30, 143,735.94 and 56,409.50

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Solution

The fourth proportional to 104,156.30, 143,735.94 and 56,409.50 is: 77,845.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,156.30 : 143,735.94 = 56,409.50 : x
  2. Step 2: Convert to fraction form
    104,156.30/143,735.94 = 56,409.50/x
  3. Step 3: Cross multiply
    104,156.30x = 143,735.94 × 56,409.50
  4. Step 4: Simplify right side
    104,156.30x = 8,108,072,507.43
  5. Step 5: Solve for x
    x = 8,108,072,507.43/104,156.30
  6. Step 6: Final answer
    x = 77,845.24

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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.