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Finding the Fourth Proportional to 209,434.87, 314,283.53 and 84,775.87

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Solution

The fourth proportional to 209,434.87, 314,283.53 and 84,775.87 is: 127,216.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,434.87 : 314,283.53 = 84,775.87 : x
  2. Step 2: Convert to fraction form
    209,434.87/314,283.53 = 84,775.87/x
  3. Step 3: Cross multiply
    209,434.87x = 314,283.53 × 84,775.87
  4. Step 4: Simplify right side
    209,434.87x = 26,643,659,682.42
  5. Step 5: Solve for x
    x = 26,643,659,682.42/209,434.87
  6. Step 6: Final answer
    x = 127,216.92

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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.