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Finding the Fourth Proportional to 78,483.66, 117,712.86 and 21,544.28

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Solution

The fourth proportional to 78,483.66, 117,712.86 and 21,544.28 is: 32,312.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,483.66 : 117,712.86 = 21,544.28 : x
  2. Step 2: Convert to fraction form
    78,483.66/117,712.86 = 21,544.28/x
  3. Step 3: Cross multiply
    78,483.66x = 117,712.86 × 21,544.28
  4. Step 4: Simplify right side
    78,483.66x = 2,536,038,815.44
  5. Step 5: Solve for x
    x = 2,536,038,815.44/78,483.66
  6. Step 6: Final answer
    x = 32,312.95

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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.