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Finding the Fourth Proportional to 218,916.86, 302,093.53 and 123,417.40

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Solution

The fourth proportional to 218,916.86, 302,093.53 and 123,417.40 is: 170,309.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,916.86 : 302,093.53 = 123,417.40 : x
  2. Step 2: Convert to fraction form
    218,916.86/302,093.53 = 123,417.40/x
  3. Step 3: Cross multiply
    218,916.86x = 302,093.53 × 123,417.40
  4. Step 4: Simplify right side
    218,916.86x = 37,283,598,029.42
  5. Step 5: Solve for x
    x = 37,283,598,029.42/218,916.86
  6. Step 6: Final answer
    x = 170,309.40

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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.