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Finding the Fourth Proportional to 101,806.15, 140,509.36 and 56,498.69

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Solution

The fourth proportional to 101,806.15, 140,509.36 and 56,498.69 is: 77,977.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,806.15 : 140,509.36 = 56,498.69 : x
  2. Step 2: Convert to fraction form
    101,806.15/140,509.36 = 56,498.69/x
  3. Step 3: Cross multiply
    101,806.15x = 140,509.36 × 56,498.69
  4. Step 4: Simplify right side
    101,806.15x = 7,938,594,772.74
  5. Step 5: Solve for x
    x = 7,938,594,772.74/101,806.15
  6. Step 6: Final answer
    x = 77,977.56

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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.