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Finding the Fourth Proportional to 229,459.68, 343,982.16 and 81,681.12

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Solution

The fourth proportional to 229,459.68, 343,982.16 and 81,681.12 is: 122,447.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,459.68 : 343,982.16 = 81,681.12 : x
  2. Step 2: Convert to fraction form
    229,459.68/343,982.16 = 81,681.12/x
  3. Step 3: Cross multiply
    229,459.68x = 343,982.16 × 81,681.12
  4. Step 4: Simplify right side
    229,459.68x = 28,096,848,088.82
  5. Step 5: Solve for x
    x = 28,096,848,088.82/229,459.68
  6. Step 6: Final answer
    x = 122,447.87

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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.