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Finding the Fourth Proportional to 104,657.76, 144,428.73 and 56,912.14

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Solution

The fourth proportional to 104,657.76, 144,428.73 and 56,912.14 is: 78,539.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,657.76 : 144,428.73 = 56,912.14 : x
  2. Step 2: Convert to fraction form
    104,657.76/144,428.73 = 56,912.14/x
  3. Step 3: Cross multiply
    104,657.76x = 144,428.73 × 56,912.14
  4. Step 4: Simplify right side
    104,657.76x = 8,219,748,101.78
  5. Step 5: Solve for x
    x = 8,219,748,101.78/104,657.76
  6. Step 6: Final answer
    x = 78,539.31

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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.