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Finding the Fourth Proportional to 189,277.89, 283,915.41 and 56,147.10

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Solution

The fourth proportional to 189,277.89, 283,915.41 and 56,147.10 is: 84,220.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,277.89 : 283,915.41 = 56,147.10 : x
  2. Step 2: Convert to fraction form
    189,277.89/283,915.41 = 56,147.10/x
  3. Step 3: Cross multiply
    189,277.89x = 283,915.41 × 56,147.10
  4. Step 4: Simplify right side
    189,277.89x = 15,941,026,916.81
  5. Step 5: Solve for x
    x = 15,941,026,916.81/189,277.89
  6. Step 6: Final answer
    x = 84,220.23

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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.