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Finding the Fourth Proportional to 95,784, 143,699.04 and 30,120

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Solution

The fourth proportional to 95,784, 143,699.04 and 30,120 is: 45,187.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,784 : 143,699.04 = 30,120 : x
  2. Step 2: Convert to fraction form
    95,784/143,699.04 = 30,120/x
  3. Step 3: Cross multiply
    95,784x = 143,699.04 × 30,120
  4. Step 4: Simplify right side
    95,784x = 4,328,215,084.80
  5. Step 5: Solve for x
    x = 4,328,215,084.80/95,784
  6. Step 6: Final answer
    x = 45,187.25

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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.