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Finding the Fourth Proportional to 145.04, 200.12 and 89.77

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Solution

The fourth proportional to 145.04, 200.12 and 89.77 is: 123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.04 : 200.12 = 89.77 : x
  2. Step 2: Convert to fraction form
    145.04/200.12 = 89.77/x
  3. Step 3: Cross multiply
    145.04x = 200.12 × 89.77
  4. Step 4: Simplify right side
    145.04x = 17,964.77
  5. Step 5: Solve for x
    x = 17,964.77/145.04
  6. Step 6: Final answer
    x = 123.86

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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.