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Finding the Fourth Proportional to 212,225.50, 292,912.80 and 121,642.20

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Solution

The fourth proportional to 212,225.50, 292,912.80 and 121,642.20 is: 167,890.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,225.50 : 292,912.80 = 121,642.20 : x
  2. Step 2: Convert to fraction form
    212,225.50/292,912.80 = 121,642.20/x
  3. Step 3: Cross multiply
    212,225.50x = 292,912.80 × 121,642.20
  4. Step 4: Simplify right side
    212,225.50x = 35,630,557,400.16
  5. Step 5: Solve for x
    x = 35,630,557,400.16/212,225.50
  6. Step 6: Final answer
    x = 167,890.09

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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.