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Finding the Fourth Proportional to 144,916.40, 217,374.60 and 74,932.40

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Solution

The fourth proportional to 144,916.40, 217,374.60 and 74,932.40 is: 112,398.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,916.40 : 217,374.60 = 74,932.40 : x
  2. Step 2: Convert to fraction form
    144,916.40/217,374.60 = 74,932.40/x
  3. Step 3: Cross multiply
    144,916.40x = 217,374.60 × 74,932.40
  4. Step 4: Simplify right side
    144,916.40x = 16,288,400,477.04
  5. Step 5: Solve for x
    x = 16,288,400,477.04/144,916.40
  6. Step 6: Final answer
    x = 112,398.60

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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.