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Finding the Fourth Proportional to 30,078, 45,118.08 and 9,300.96

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Solution

The fourth proportional to 30,078, 45,118.08 and 9,300.96 is: 13,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,078 : 45,118.08 = 9,300.96 : x
  2. Step 2: Convert to fraction form
    30,078/45,118.08 = 9,300.96/x
  3. Step 3: Cross multiply
    30,078x = 45,118.08 × 9,300.96
  4. Step 4: Simplify right side
    30,078x = 419,641,457.36
  5. Step 5: Solve for x
    x = 419,641,457.36/30,078
  6. Step 6: Final answer
    x = 13,951.77

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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.