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Finding the Fourth Proportional to 102,689.83, 141,706.87 and 57,358.78

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Solution

The fourth proportional to 102,689.83, 141,706.87 and 57,358.78 is: 79,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,689.83 : 141,706.87 = 57,358.78 : x
  2. Step 2: Convert to fraction form
    102,689.83/141,706.87 = 57,358.78/x
  3. Step 3: Cross multiply
    102,689.83x = 141,706.87 × 57,358.78
  4. Step 4: Simplify right side
    102,689.83x = 8,128,133,180.82
  5. Step 5: Solve for x
    x = 8,128,133,180.82/102,689.83
  6. Step 6: Final answer
    x = 79,152.27

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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.