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Finding the Fourth Proportional to 96,689, 133,431.30 and 56,430.68

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Solution

The fourth proportional to 96,689, 133,431.30 and 56,430.68 is: 77,874.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,689 : 133,431.30 = 56,430.68 : x
  2. Step 2: Convert to fraction form
    96,689/133,431.30 = 56,430.68/x
  3. Step 3: Cross multiply
    96,689x = 133,431.30 × 56,430.68
  4. Step 4: Simplify right side
    96,689x = 7,529,618,992.28
  5. Step 5: Solve for x
    x = 7,529,618,992.28/96,689
  6. Step 6: Final answer
    x = 77,874.62

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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.