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Finding the Fourth Proportional to 213,071.94, 319,459.68 and 107,818.92

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Solution

The fourth proportional to 213,071.94, 319,459.68 and 107,818.92 is: 161,653.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,071.94 : 319,459.68 = 107,818.92 : x
  2. Step 2: Convert to fraction form
    213,071.94/319,459.68 = 107,818.92/x
  3. Step 3: Cross multiply
    213,071.94x = 319,459.68 × 107,818.92
  4. Step 4: Simplify right side
    213,071.94x = 34,443,797,681.15
  5. Step 5: Solve for x
    x = 34,443,797,681.15/213,071.94
  6. Step 6: Final answer
    x = 161,653.37

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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.