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Finding the Fourth Proportional to 211,985.40, 317,978.10 and 93,595.80

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Solution

The fourth proportional to 211,985.40, 317,978.10 and 93,595.80 is: 140,393.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,985.40 : 317,978.10 = 93,595.80 : x
  2. Step 2: Convert to fraction form
    211,985.40/317,978.10 = 93,595.80/x
  3. Step 3: Cross multiply
    211,985.40x = 317,978.10 × 93,595.80
  4. Step 4: Simplify right side
    211,985.40x = 29,761,414,651.98
  5. Step 5: Solve for x
    x = 29,761,414,651.98/211,985.40
  6. Step 6: Final answer
    x = 140,393.70

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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.