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Finding the Fourth Proportional to 102,137.64, 140,949.93 and 57,425.64

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Solution

The fourth proportional to 102,137.64, 140,949.93 and 57,425.64 is: 79,247.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,137.64 : 140,949.93 = 57,425.64 : x
  2. Step 2: Convert to fraction form
    102,137.64/140,949.93 = 57,425.64/x
  3. Step 3: Cross multiply
    102,137.64x = 140,949.93 × 57,425.64
  4. Step 4: Simplify right side
    102,137.64x = 8,094,139,938.21
  5. Step 5: Solve for x
    x = 8,094,139,938.21/102,137.64
  6. Step 6: Final answer
    x = 79,247.38

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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.