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Finding the Fourth Proportional to 56,442.81, 84,672.42 and 30,133.20

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Solution

The fourth proportional to 56,442.81, 84,672.42 and 30,133.20 is: 45,204.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,442.81 : 84,672.42 = 30,133.20 : x
  2. Step 2: Convert to fraction form
    56,442.81/84,672.42 = 30,133.20/x
  3. Step 3: Cross multiply
    56,442.81x = 84,672.42 × 30,133.20
  4. Step 4: Simplify right side
    56,442.81x = 2,551,450,966.34
  5. Step 5: Solve for x
    x = 2,551,450,966.34/56,442.81
  6. Step 6: Final answer
    x = 45,204.18

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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.