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Finding the Fourth Proportional to 51,644.70, 71,284.95 and 30,430.80

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Solution

The fourth proportional to 51,644.70, 71,284.95 and 30,430.80 is: 42,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,644.70 : 71,284.95 = 30,430.80 : x
  2. Step 2: Convert to fraction form
    51,644.70/71,284.95 = 30,430.80/x
  3. Step 3: Cross multiply
    51,644.70x = 71,284.95 × 30,430.80
  4. Step 4: Simplify right side
    51,644.70x = 2,169,258,056.46
  5. Step 5: Solve for x
    x = 2,169,258,056.46/51,644.70
  6. Step 6: Final answer
    x = 42,003.50

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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.