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Finding the Fourth Proportional to 102,698.88, 141,708.48 and 57,985.92

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Solution

The fourth proportional to 102,698.88, 141,708.48 and 57,985.92 is: 80,011.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,698.88 : 141,708.48 = 57,985.92 : x
  2. Step 2: Convert to fraction form
    102,698.88/141,708.48 = 57,985.92/x
  3. Step 3: Cross multiply
    102,698.88x = 141,708.48 × 57,985.92
  4. Step 4: Simplify right side
    102,698.88x = 8,217,096,584.60
  5. Step 5: Solve for x
    x = 8,217,096,584.60/102,698.88
  6. Step 6: Final answer
    x = 80,011.55

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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.