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Finding the Fourth Proportional to 102,868.80, 141,955.64 and 57,545.80

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Solution

The fourth proportional to 102,868.80, 141,955.64 and 57,545.80 is: 79,411.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,868.80 : 141,955.64 = 57,545.80 : x
  2. Step 2: Convert to fraction form
    102,868.80/141,955.64 = 57,545.80/x
  3. Step 3: Cross multiply
    102,868.80x = 141,955.64 × 57,545.80
  4. Step 4: Simplify right side
    102,868.80x = 8,168,951,682.39
  5. Step 5: Solve for x
    x = 8,168,951,682.39/102,868.80
  6. Step 6: Final answer
    x = 79,411.37

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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.