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Finding the Fourth Proportional to 140,470.58, 210,607.30 and 51,712.70

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Solution

The fourth proportional to 140,470.58, 210,607.30 and 51,712.70 is: 77,532.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,470.58 : 210,607.30 = 51,712.70 : x
  2. Step 2: Convert to fraction form
    140,470.58/210,607.30 = 51,712.70/x
  3. Step 3: Cross multiply
    140,470.58x = 210,607.30 × 51,712.70
  4. Step 4: Simplify right side
    140,470.58x = 10,891,072,122.71
  5. Step 5: Solve for x
    x = 10,891,072,122.71/140,470.58
  6. Step 6: Final answer
    x = 77,532.76

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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.