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Finding the Fourth Proportional to 64,384.40, 96,605.40 and 31,091.60

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Solution

The fourth proportional to 64,384.40, 96,605.40 and 31,091.60 is: 46,651.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,384.40 : 96,605.40 = 31,091.60 : x
  2. Step 2: Convert to fraction form
    64,384.40/96,605.40 = 31,091.60/x
  3. Step 3: Cross multiply
    64,384.40x = 96,605.40 × 31,091.60
  4. Step 4: Simplify right side
    64,384.40x = 3,003,616,454.64
  5. Step 5: Solve for x
    x = 3,003,616,454.64/64,384.40
  6. Step 6: Final answer
    x = 46,651.31

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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.