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Finding the Fourth Proportional to 143,864.94, 215,930.51 and 72,837.50

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Solution

The fourth proportional to 143,864.94, 215,930.51 and 72,837.50 is: 109,323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,864.94 : 215,930.51 = 72,837.50 : x
  2. Step 2: Convert to fraction form
    143,864.94/215,930.51 = 72,837.50/x
  3. Step 3: Cross multiply
    143,864.94x = 215,930.51 × 72,837.50
  4. Step 4: Simplify right side
    143,864.94x = 15,727,838,522.13
  5. Step 5: Solve for x
    x = 15,727,838,522.13/143,864.94
  6. Step 6: Final answer
    x = 109,323.64

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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.