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Finding the Fourth Proportional to 30,153, 45,280.53 and 19,640.82

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Solution

The fourth proportional to 30,153, 45,280.53 and 19,640.82 is: 29,494.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,153 : 45,280.53 = 19,640.82 : x
  2. Step 2: Convert to fraction form
    30,153/45,280.53 = 19,640.82/x
  3. Step 3: Cross multiply
    30,153x = 45,280.53 × 19,640.82
  4. Step 4: Simplify right side
    30,153x = 889,346,739.23
  5. Step 5: Solve for x
    x = 889,346,739.23/30,153
  6. Step 6: Final answer
    x = 29,494.47

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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.