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Finding the Fourth Proportional to 78,484.82, 117,726.21 and 19,321.00

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Solution

The fourth proportional to 78,484.82, 117,726.21 and 19,321.00 is: 28,981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,484.82 : 117,726.21 = 19,321.00 : x
  2. Step 2: Convert to fraction form
    78,484.82/117,726.21 = 19,321.00/x
  3. Step 3: Cross multiply
    78,484.82x = 117,726.21 × 19,321.00
  4. Step 4: Simplify right side
    78,484.82x = 2,274,587,809.09
  5. Step 5: Solve for x
    x = 2,274,587,809.09/78,484.82
  6. Step 6: Final answer
    x = 28,981.25

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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.