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Finding the Fourth Proportional to 70,506.40, 105,712.29 and 27,772.76

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Solution

The fourth proportional to 70,506.40, 105,712.29 and 27,772.76 is: 41,640.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,506.40 : 105,712.29 = 27,772.76 : x
  2. Step 2: Convert to fraction form
    70,506.40/105,712.29 = 27,772.76/x
  3. Step 3: Cross multiply
    70,506.40x = 105,712.29 × 27,772.76
  4. Step 4: Simplify right side
    70,506.40x = 2,935,922,059.22
  5. Step 5: Solve for x
    x = 2,935,922,059.22/70,506.40
  6. Step 6: Final answer
    x = 41,640.50

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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.