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Finding the Fourth Proportional to 209,733.51, 314,384.27 and 91,382.79

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Solution

The fourth proportional to 209,733.51, 314,384.27 and 91,382.79 is: 136,980.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,733.51 : 314,384.27 = 91,382.79 : x
  2. Step 2: Convert to fraction form
    209,733.51/314,384.27 = 91,382.79/x
  3. Step 3: Cross multiply
    209,733.51x = 314,384.27 × 91,382.79
  4. Step 4: Simplify right side
    209,733.51x = 28,729,311,267.80
  5. Step 5: Solve for x
    x = 28,729,311,267.80/209,733.51
  6. Step 6: Final answer
    x = 136,980.07

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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.