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Finding the Fourth Proportional to 231,041.92, 346,475.40 and 90,724

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Solution

The fourth proportional to 231,041.92, 346,475.40 and 90,724 is: 136,051.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,041.92 : 346,475.40 = 90,724 : x
  2. Step 2: Convert to fraction form
    231,041.92/346,475.40 = 90,724/x
  3. Step 3: Cross multiply
    231,041.92x = 346,475.40 × 90,724
  4. Step 4: Simplify right side
    231,041.92x = 31,433,634,189.60
  5. Step 5: Solve for x
    x = 31,433,634,189.60/231,041.92
  6. Step 6: Final answer
    x = 136,051.65

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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.