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Finding the Fourth Proportional to 100,957.57, 139,322 and 57,933.64

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Solution

The fourth proportional to 100,957.57, 139,322 and 57,933.64 is: 79,948.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,957.57 : 139,322 = 57,933.64 : x
  2. Step 2: Convert to fraction form
    100,957.57/139,322 = 57,933.64/x
  3. Step 3: Cross multiply
    100,957.57x = 139,322 × 57,933.64
  4. Step 4: Simplify right side
    100,957.57x = 8,071,430,592.08
  5. Step 5: Solve for x
    x = 8,071,430,592.08/100,957.57
  6. Step 6: Final answer
    x = 79,948.74

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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.