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Finding the Fourth Proportional to 213,089.88, 319,686.87 and 70,934.88

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Solution

The fourth proportional to 213,089.88, 319,686.87 and 70,934.88 is: 106,419.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,089.88 : 319,686.87 = 70,934.88 : x
  2. Step 2: Convert to fraction form
    213,089.88/319,686.87 = 70,934.88/x
  3. Step 3: Cross multiply
    213,089.88x = 319,686.87 × 70,934.88
  4. Step 4: Simplify right side
    213,089.88x = 22,676,949,761.03
  5. Step 5: Solve for x
    x = 22,676,949,761.03/213,089.88
  6. Step 6: Final answer
    x = 106,419.65

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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.