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Finding the Fourth Proportional to 119,152.87, 164,432.09 and 65,439

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Solution

The fourth proportional to 119,152.87, 164,432.09 and 65,439 is: 90,306.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,152.87 : 164,432.09 = 65,439 : x
  2. Step 2: Convert to fraction form
    119,152.87/164,432.09 = 65,439/x
  3. Step 3: Cross multiply
    119,152.87x = 164,432.09 × 65,439
  4. Step 4: Simplify right side
    119,152.87x = 10,760,271,537.51
  5. Step 5: Solve for x
    x = 10,760,271,537.51/119,152.87
  6. Step 6: Final answer
    x = 90,306.44

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1.5x scale

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.