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Finding the Fourth Proportional to 64,431, 96,646.50 and 17,683.88

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Solution

The fourth proportional to 64,431, 96,646.50 and 17,683.88 is: 26,525.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,431 : 96,646.50 = 17,683.88 : x
  2. Step 2: Convert to fraction form
    64,431/96,646.50 = 17,683.88/x
  3. Step 3: Cross multiply
    64,431x = 96,646.50 × 17,683.88
  4. Step 4: Simplify right side
    64,431x = 1,709,084,625.19
  5. Step 5: Solve for x
    x = 1,709,084,625.19/64,431
  6. Step 6: Final answer
    x = 26,525.81

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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.