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Finding the Fourth Proportional to 96,971, 133,821.60 and 63,437

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Solution

The fourth proportional to 96,971, 133,821.60 and 63,437 is: 87,544.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,971 : 133,821.60 = 63,437 : x
  2. Step 2: Convert to fraction form
    96,971/133,821.60 = 63,437/x
  3. Step 3: Cross multiply
    96,971x = 133,821.60 × 63,437
  4. Step 4: Simplify right side
    96,971x = 8,489,240,839.20
  5. Step 5: Solve for x
    x = 8,489,240,839.20/96,971
  6. Step 6: Final answer
    x = 87,544.12

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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.