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Finding the Fourth Proportional to 30,178.64, 45,295.86 and 15,398.54

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Solution

The fourth proportional to 30,178.64, 45,295.86 and 15,398.54 is: 23,112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,178.64 : 45,295.86 = 15,398.54 : x
  2. Step 2: Convert to fraction form
    30,178.64/45,295.86 = 15,398.54/x
  3. Step 3: Cross multiply
    30,178.64x = 45,295.86 × 15,398.54
  4. Step 4: Simplify right side
    30,178.64x = 697,490,112.04
  5. Step 5: Solve for x
    x = 697,490,112.04/30,178.64
  6. Step 6: Final answer
    x = 23,112.05

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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.