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Finding the Fourth Proportional to 144,707.80, 216,903.30 and 51,165.40

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Solution

The fourth proportional to 144,707.80, 216,903.30 and 51,165.40 is: 76,692.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,707.80 : 216,903.30 = 51,165.40 : x
  2. Step 2: Convert to fraction form
    144,707.80/216,903.30 = 51,165.40/x
  3. Step 3: Cross multiply
    144,707.80x = 216,903.30 × 51,165.40
  4. Step 4: Simplify right side
    144,707.80x = 11,097,944,105.82
  5. Step 5: Solve for x
    x = 11,097,944,105.82/144,707.80
  6. Step 6: Final answer
    x = 76,692.09

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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.