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Finding the Fourth Proportional to 76,983, 115,511.06 and 53,326.95

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Solution

The fourth proportional to 76,983, 115,511.06 and 53,326.95 is: 80,015.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,983 : 115,511.06 = 53,326.95 : x
  2. Step 2: Convert to fraction form
    76,983/115,511.06 = 53,326.95/x
  3. Step 3: Cross multiply
    76,983x = 115,511.06 × 53,326.95
  4. Step 4: Simplify right side
    76,983x = 6,159,852,254.43
  5. Step 5: Solve for x
    x = 6,159,852,254.43/76,983
  6. Step 6: Final answer
    x = 80,015.75

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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.