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Finding the Fourth Proportional to 132,419.84, 198,518 and 57,483.44

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Solution

The fourth proportional to 132,419.84, 198,518 and 57,483.44 is: 86,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,419.84 : 198,518 = 57,483.44 : x
  2. Step 2: Convert to fraction form
    132,419.84/198,518 = 57,483.44/x
  3. Step 3: Cross multiply
    132,419.84x = 198,518 × 57,483.44
  4. Step 4: Simplify right side
    132,419.84x = 11,411,497,541.92
  5. Step 5: Solve for x
    x = 11,411,497,541.92/132,419.84
  6. Step 6: Final answer
    x = 86,176.64

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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.