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Finding the Fourth Proportional to 63,009.36, 86,977.80 and 37,854

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Solution

The fourth proportional to 63,009.36, 86,977.80 and 37,854 is: 52,253.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,009.36 : 86,977.80 = 37,854 : x
  2. Step 2: Convert to fraction form
    63,009.36/86,977.80 = 37,854/x
  3. Step 3: Cross multiply
    63,009.36x = 86,977.80 × 37,854
  4. Step 4: Simplify right side
    63,009.36x = 3,292,457,641.20
  5. Step 5: Solve for x
    x = 3,292,457,641.20/63,009.36
  6. Step 6: Final answer
    x = 52,253.47

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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.