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Finding the Fourth Proportional to 30,152.56, 45,232.95 and 10,425.82

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Solution

The fourth proportional to 30,152.56, 45,232.95 and 10,425.82 is: 15,640.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,152.56 : 45,232.95 = 10,425.82 : x
  2. Step 2: Convert to fraction form
    30,152.56/45,232.95 = 10,425.82/x
  3. Step 3: Cross multiply
    30,152.56x = 45,232.95 × 10,425.82
  4. Step 4: Simplify right side
    30,152.56x = 471,590,594.77
  5. Step 5: Solve for x
    x = 471,590,594.77/30,152.56
  6. Step 6: Final answer
    x = 15,640.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.