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Finding the Fourth Proportional to 74.90, 112.40 and 64.06

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Solution

The fourth proportional to 74.90, 112.40 and 64.06 is: 96.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.90 : 112.40 = 64.06 : x
  2. Step 2: Convert to fraction form
    74.90/112.40 = 64.06/x
  3. Step 3: Cross multiply
    74.90x = 112.40 × 64.06
  4. Step 4: Simplify right side
    74.90x = 7,200.34
  5. Step 5: Solve for x
    x = 7,200.34/74.90
  6. Step 6: Final answer
    x = 96.13

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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.