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Finding the Fourth Proportional to 189,011.87, 260,936.50 and 145,898.61

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Solution

The fourth proportional to 189,011.87, 260,936.50 and 145,898.61 is: 201,417.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,011.87 : 260,936.50 = 145,898.61 : x
  2. Step 2: Convert to fraction form
    189,011.87/260,936.50 = 145,898.61/x
  3. Step 3: Cross multiply
    189,011.87x = 260,936.50 × 145,898.61
  4. Step 4: Simplify right side
    189,011.87x = 38,070,272,648.27
  5. Step 5: Solve for x
    x = 38,070,272,648.27/189,011.87
  6. Step 6: Final answer
    x = 201,417.36

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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.