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Finding the Fourth Proportional to 144,705.60, 217,044.72 and 51,206.40

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Solution

The fourth proportional to 144,705.60, 217,044.72 and 51,206.40 is: 76,804.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,705.60 : 217,044.72 = 51,206.40 : x
  2. Step 2: Convert to fraction form
    144,705.60/217,044.72 = 51,206.40/x
  3. Step 3: Cross multiply
    144,705.60x = 217,044.72 × 51,206.40
  4. Step 4: Simplify right side
    144,705.60x = 11,114,078,750.21
  5. Step 5: Solve for x
    x = 11,114,078,750.21/144,705.60
  6. Step 6: Final answer
    x = 76,804.76

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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.