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Finding the Fourth Proportional to 51,045, 70,423.44 and 30,894.56

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Solution

The fourth proportional to 51,045, 70,423.44 and 30,894.56 is: 42,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,045 : 70,423.44 = 30,894.56 : x
  2. Step 2: Convert to fraction form
    51,045/70,423.44 = 30,894.56/x
  3. Step 3: Cross multiply
    51,045x = 70,423.44 × 30,894.56
  4. Step 4: Simplify right side
    51,045x = 2,175,701,192.49
  5. Step 5: Solve for x
    x = 2,175,701,192.49/51,045
  6. Step 6: Final answer
    x = 42,623.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.