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Finding the Fourth Proportional to 145.01, 200.09 and 89.72

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Solution

The fourth proportional to 145.01, 200.09 and 89.72 is: 123.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.01 : 200.09 = 89.72 : x
  2. Step 2: Convert to fraction form
    145.01/200.09 = 89.72/x
  3. Step 3: Cross multiply
    145.01x = 200.09 × 89.72
  4. Step 4: Simplify right side
    145.01x = 17,950.63
  5. Step 5: Solve for x
    x = 17,950.63/145.01
  6. Step 6: Final answer
    x = 123.79

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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.