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Finding the Fourth Proportional to 101,819.61, 140,506.20 and 56,497.05

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Solution

The fourth proportional to 101,819.61, 140,506.20 and 56,497.05 is: 77,963.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,819.61 : 140,506.20 = 56,497.05 : x
  2. Step 2: Convert to fraction form
    101,819.61/140,506.20 = 56,497.05/x
  3. Step 3: Cross multiply
    101,819.61x = 140,506.20 × 56,497.05
  4. Step 4: Simplify right side
    101,819.61x = 7,938,185,806.71
  5. Step 5: Solve for x
    x = 7,938,185,806.71/101,819.61
  6. Step 6: Final answer
    x = 77,963.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.