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Finding the Fourth Proportional to 213,190.58, 319,678.88 and 70,985.76

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Solution

The fourth proportional to 213,190.58, 319,678.88 and 70,985.76 is: 106,443.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,190.58 : 319,678.88 = 70,985.76 : x
  2. Step 2: Convert to fraction form
    213,190.58/319,678.88 = 70,985.76/x
  3. Step 3: Cross multiply
    213,190.58x = 319,678.88 × 70,985.76
  4. Step 4: Simplify right side
    213,190.58x = 22,692,648,252.75
  5. Step 5: Solve for x
    x = 22,692,648,252.75/213,190.58
  6. Step 6: Final answer
    x = 106,443.02

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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.