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Finding the Fourth Proportional to 94,971, 142,409.10 and 31,769.12

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Solution

The fourth proportional to 94,971, 142,409.10 and 31,769.12 is: 47,637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,971 : 142,409.10 = 31,769.12 : x
  2. Step 2: Convert to fraction form
    94,971/142,409.10 = 31,769.12/x
  3. Step 3: Cross multiply
    94,971x = 142,409.10 × 31,769.12
  4. Step 4: Simplify right side
    94,971x = 4,524,211,786.99
  5. Step 5: Solve for x
    x = 4,524,211,786.99/94,971
  6. Step 6: Final answer
    x = 47,637.82

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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.