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Finding the Fourth Proportional to 102,398, 141,309.24 and 57,686

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Solution

The fourth proportional to 102,398, 141,309.24 and 57,686 is: 79,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,398 : 141,309.24 = 57,686 : x
  2. Step 2: Convert to fraction form
    102,398/141,309.24 = 57,686/x
  3. Step 3: Cross multiply
    102,398x = 141,309.24 × 57,686
  4. Step 4: Simplify right side
    102,398x = 8,151,564,818.64
  5. Step 5: Solve for x
    x = 8,151,564,818.64/102,398
  6. Step 6: Final answer
    x = 79,606.68

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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.