Home / 205,172.34-283,185-120,316.74

Finding the Fourth Proportional to 205,172.34, 283,185 and 120,316.74

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Solution

The fourth proportional to 205,172.34, 283,185 and 120,316.74 is: 166,064.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,172.34 : 283,185 = 120,316.74 : x
  2. Step 2: Convert to fraction form
    205,172.34/283,185 = 120,316.74/x
  3. Step 3: Cross multiply
    205,172.34x = 283,185 × 120,316.74
  4. Step 4: Simplify right side
    205,172.34x = 34,071,896,016.90
  5. Step 5: Solve for x
    x = 34,071,896,016.90/205,172.34
  6. Step 6: Final answer
    x = 166,064.76

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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.