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Finding the Fourth Proportional to 213,548.80, 319,971.36 and 73,230.40

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Solution

The fourth proportional to 213,548.80, 319,971.36 and 73,230.40 is: 109,724.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,548.80 : 319,971.36 = 73,230.40 : x
  2. Step 2: Convert to fraction form
    213,548.80/319,971.36 = 73,230.40/x
  3. Step 3: Cross multiply
    213,548.80x = 319,971.36 × 73,230.40
  4. Step 4: Simplify right side
    213,548.80x = 23,431,630,681.34
  5. Step 5: Solve for x
    x = 23,431,630,681.34/213,548.80
  6. Step 6: Final answer
    x = 109,724.95

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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.