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Finding the Fourth Proportional to 143,490.21, 197,962.98 and 89,754.81

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Solution

The fourth proportional to 143,490.21, 197,962.98 and 89,754.81 is: 123,828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,490.21 : 197,962.98 = 89,754.81 : x
  2. Step 2: Convert to fraction form
    143,490.21/197,962.98 = 89,754.81/x
  3. Step 3: Cross multiply
    143,490.21x = 197,962.98 × 89,754.81
  4. Step 4: Simplify right side
    143,490.21x = 17,768,129,656.93
  5. Step 5: Solve for x
    x = 17,768,129,656.93/143,490.21
  6. Step 6: Final answer
    x = 123,828.17

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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.