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Finding the Fourth Proportional to 144,083.40, 215,849.70 and 77,501.40

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Solution

The fourth proportional to 144,083.40, 215,849.70 and 77,501.40 is: 116,103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,083.40 : 215,849.70 = 77,501.40 : x
  2. Step 2: Convert to fraction form
    144,083.40/215,849.70 = 77,501.40/x
  3. Step 3: Cross multiply
    144,083.40x = 215,849.70 × 77,501.40
  4. Step 4: Simplify right side
    144,083.40x = 16,728,653,939.58
  5. Step 5: Solve for x
    x = 16,728,653,939.58/144,083.40
  6. Step 6: Final answer
    x = 116,103.96

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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.