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Finding the Fourth Proportional to 113.71, 156.88 and 70.01

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Solution

The fourth proportional to 113.71, 156.88 and 70.01 is: 96.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.71 : 156.88 = 70.01 : x
  2. Step 2: Convert to fraction form
    113.71/156.88 = 70.01/x
  3. Step 3: Cross multiply
    113.71x = 156.88 × 70.01
  4. Step 4: Simplify right side
    113.71x = 10,983.17
  5. Step 5: Solve for x
    x = 10,983.17/113.71
  6. Step 6: Final answer
    x = 96.59

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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.