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Finding the Fourth Proportional to 77,315.52, 106,683.24 and 43,321.44

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Solution

The fourth proportional to 77,315.52, 106,683.24 and 43,321.44 is: 59,776.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,315.52 : 106,683.24 = 43,321.44 : x
  2. Step 2: Convert to fraction form
    77,315.52/106,683.24 = 43,321.44/x
  3. Step 3: Cross multiply
    77,315.52x = 106,683.24 × 43,321.44
  4. Step 4: Simplify right side
    77,315.52x = 4,621,671,580.67
  5. Step 5: Solve for x
    x = 4,621,671,580.67/77,315.52
  6. Step 6: Final answer
    x = 59,776.76

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1.5x scale

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.