Home / 205,211.34-283,177.08-120,312

Finding the Fourth Proportional to 205,211.34, 283,177.08 and 120,312

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Solution

The fourth proportional to 205,211.34, 283,177.08 and 120,312 is: 166,022.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,211.34 : 283,177.08 = 120,312 : x
  2. Step 2: Convert to fraction form
    205,211.34/283,177.08 = 120,312/x
  3. Step 3: Cross multiply
    205,211.34x = 283,177.08 × 120,312
  4. Step 4: Simplify right side
    205,211.34x = 34,069,600,848.96
  5. Step 5: Solve for x
    x = 34,069,600,848.96/205,211.34
  6. Step 6: Final answer
    x = 166,022.02

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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.