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Finding the Fourth Proportional to 144,195, 216,292.50 and 45,699

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Solution

The fourth proportional to 144,195, 216,292.50 and 45,699 is: 68,548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,195 : 216,292.50 = 45,699 : x
  2. Step 2: Convert to fraction form
    144,195/216,292.50 = 45,699/x
  3. Step 3: Cross multiply
    144,195x = 216,292.50 × 45,699
  4. Step 4: Simplify right side
    144,195x = 9,884,350,957.50
  5. Step 5: Solve for x
    x = 9,884,350,957.50/144,195
  6. Step 6: Final answer
    x = 68,548.50

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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.