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Finding the Fourth Proportional to 30,242.78, 45,364.12 and 8,056.22

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Solution

The fourth proportional to 30,242.78, 45,364.12 and 8,056.22 is: 12,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,242.78 : 45,364.12 = 8,056.22 : x
  2. Step 2: Convert to fraction form
    30,242.78/45,364.12 = 8,056.22/x
  3. Step 3: Cross multiply
    30,242.78x = 45,364.12 × 8,056.22
  4. Step 4: Simplify right side
    30,242.78x = 365,463,424.10
  5. Step 5: Solve for x
    x = 365,463,424.10/30,242.78
  6. Step 6: Final answer
    x = 12,084.32

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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.