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Finding the Fourth Proportional to 102,711.54, 141,739.28 and 57,389.90

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Solution

The fourth proportional to 102,711.54, 141,739.28 and 57,389.90 is: 79,196.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,711.54 : 141,739.28 = 57,389.90 : x
  2. Step 2: Convert to fraction form
    102,711.54/141,739.28 = 57,389.90/x
  3. Step 3: Cross multiply
    102,711.54x = 141,739.28 × 57,389.90
  4. Step 4: Simplify right side
    102,711.54x = 8,134,402,109.63
  5. Step 5: Solve for x
    x = 8,134,402,109.63/102,711.54
  6. Step 6: Final answer
    x = 79,196.57

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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.