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Finding the Fourth Proportional to 213,322.30, 319,897.05 and 73,008.70

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Solution

The fourth proportional to 213,322.30, 319,897.05 and 73,008.70 is: 109,483.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,322.30 : 319,897.05 = 73,008.70 : x
  2. Step 2: Convert to fraction form
    213,322.30/319,897.05 = 73,008.70/x
  3. Step 3: Cross multiply
    213,322.30x = 319,897.05 × 73,008.70
  4. Step 4: Simplify right side
    213,322.30x = 23,355,267,754.34
  5. Step 5: Solve for x
    x = 23,355,267,754.34/213,322.30
  6. Step 6: Final answer
    x = 109,483.48

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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.