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Finding the Fourth Proportional to 145,234.76, 200,442.76 and 81,572.56

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Solution

The fourth proportional to 145,234.76, 200,442.76 and 81,572.56 is: 112,580.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,234.76 : 200,442.76 = 81,572.56 : x
  2. Step 2: Convert to fraction form
    145,234.76/200,442.76 = 81,572.56/x
  3. Step 3: Cross multiply
    145,234.76x = 200,442.76 × 81,572.56
  4. Step 4: Simplify right side
    145,234.76x = 16,350,628,361.63
  5. Step 5: Solve for x
    x = 16,350,628,361.63/145,234.76
  6. Step 6: Final answer
    x = 112,580.69

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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.