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Finding the Fourth Proportional to 30,114, 45,172.08 and 9,336.96

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Solution

The fourth proportional to 30,114, 45,172.08 and 9,336.96 is: 14,005.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,114 : 45,172.08 = 9,336.96 : x
  2. Step 2: Convert to fraction form
    30,114/45,172.08 = 9,336.96/x
  3. Step 3: Cross multiply
    30,114x = 45,172.08 × 9,336.96
  4. Step 4: Simplify right side
    30,114x = 421,769,904.08
  5. Step 5: Solve for x
    x = 421,769,904.08/30,114
  6. Step 6: Final answer
    x = 14,005.77

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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.