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Finding the Fourth Proportional to 189,113.20, 260,977.80 and 104,230.48

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Solution

The fourth proportional to 189,113.20, 260,977.80 and 104,230.48 is: 143,838.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,113.20 : 260,977.80 = 104,230.48 : x
  2. Step 2: Convert to fraction form
    189,113.20/260,977.80 = 104,230.48/x
  3. Step 3: Cross multiply
    189,113.20x = 260,977.80 × 104,230.48
  4. Step 4: Simplify right side
    189,113.20x = 27,201,841,363.34
  5. Step 5: Solve for x
    x = 27,201,841,363.34/189,113.20
  6. Step 6: Final answer
    x = 143,838.94

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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.