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Finding the Fourth Proportional to 102,150.76, 140,968.04 and 57,438.76

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Solution

The fourth proportional to 102,150.76, 140,968.04 and 57,438.76 is: 79,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,150.76 : 140,968.04 = 57,438.76 : x
  2. Step 2: Convert to fraction form
    102,150.76/140,968.04 = 57,438.76/x
  3. Step 3: Cross multiply
    102,150.76x = 140,968.04 × 57,438.76
  4. Step 4: Simplify right side
    102,150.76x = 8,097,029,417.23
  5. Step 5: Solve for x
    x = 8,097,029,417.23/102,150.76
  6. Step 6: Final answer
    x = 79,265.48

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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.