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Finding the Fourth Proportional to 120,157.98, 180,125.49 and 57,007.74

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Solution

The fourth proportional to 120,157.98, 180,125.49 and 57,007.74 is: 85,458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,157.98 : 180,125.49 = 57,007.74 : x
  2. Step 2: Convert to fraction form
    120,157.98/180,125.49 = 57,007.74/x
  3. Step 3: Cross multiply
    120,157.98x = 180,125.49 × 57,007.74
  4. Step 4: Simplify right side
    120,157.98x = 10,268,547,101.29
  5. Step 5: Solve for x
    x = 10,268,547,101.29/120,157.98
  6. Step 6: Final answer
    x = 85,458.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.