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Finding the Fourth Proportional to 64,135.77, 96,206.90 and 19,792.86

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Solution

The fourth proportional to 64,135.77, 96,206.90 and 19,792.86 is: 29,690.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,135.77 : 96,206.90 = 19,792.86 : x
  2. Step 2: Convert to fraction form
    64,135.77/96,206.90 = 19,792.86/x
  3. Step 3: Cross multiply
    64,135.77x = 96,206.90 × 19,792.86
  4. Step 4: Simplify right side
    64,135.77x = 1,904,209,603.77
  5. Step 5: Solve for x
    x = 1,904,209,603.77/64,135.77
  6. Step 6: Final answer
    x = 29,690.29

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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.