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Finding the Fourth Proportional to 102,993.94, 142,124.76 and 57,664.30

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Solution

The fourth proportional to 102,993.94, 142,124.76 and 57,664.30 is: 79,572.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,993.94 : 142,124.76 = 57,664.30 : x
  2. Step 2: Convert to fraction form
    102,993.94/142,124.76 = 57,664.30/x
  3. Step 3: Cross multiply
    102,993.94x = 142,124.76 × 57,664.30
  4. Step 4: Simplify right side
    102,993.94x = 8,195,524,798.07
  5. Step 5: Solve for x
    x = 8,195,524,798.07/102,993.94
  6. Step 6: Final answer
    x = 79,572.88

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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.