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Finding the Fourth Proportional to 102,707.69, 141,760.28 and 66,835.41

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Solution

The fourth proportional to 102,707.69, 141,760.28 and 66,835.41 is: 92,248.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,707.69 : 141,760.28 = 66,835.41 : x
  2. Step 2: Convert to fraction form
    102,707.69/141,760.28 = 66,835.41/x
  3. Step 3: Cross multiply
    102,707.69x = 141,760.28 × 66,835.41
  4. Step 4: Simplify right side
    102,707.69x = 9,474,606,101.34
  5. Step 5: Solve for x
    x = 9,474,606,101.34/102,707.69
  6. Step 6: Final answer
    x = 92,248.27

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1.5x scale

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.