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Finding the Fourth Proportional to 102,023.10, 140,736.42 and 65,160.54

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Solution

The fourth proportional to 102,023.10, 140,736.42 and 65,160.54 is: 89,886.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,023.10 : 140,736.42 = 65,160.54 : x
  2. Step 2: Convert to fraction form
    102,023.10/140,736.42 = 65,160.54/x
  3. Step 3: Cross multiply
    102,023.10x = 140,736.42 × 65,160.54
  4. Step 4: Simplify right side
    102,023.10x = 9,170,461,124.87
  5. Step 5: Solve for x
    x = 9,170,461,124.87/102,023.10
  6. Step 6: Final answer
    x = 89,886.13

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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.