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Finding the Fourth Proportional to 152,809.38, 210,866.97 and 84,823.11

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Solution

The fourth proportional to 152,809.38, 210,866.97 and 84,823.11 is: 117,050.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,809.38 : 210,866.97 = 84,823.11 : x
  2. Step 2: Convert to fraction form
    152,809.38/210,866.97 = 84,823.11/x
  3. Step 3: Cross multiply
    152,809.38x = 210,866.97 × 84,823.11
  4. Step 4: Simplify right side
    152,809.38x = 17,886,392,191.68
  5. Step 5: Solve for x
    x = 17,886,392,191.68/152,809.38
  6. Step 6: Final answer
    x = 117,050.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.