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Finding the Fourth Proportional to 77,063, 115,594.50 and 21,659

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Solution

The fourth proportional to 77,063, 115,594.50 and 21,659 is: 32,488.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,063 : 115,594.50 = 21,659 : x
  2. Step 2: Convert to fraction form
    77,063/115,594.50 = 21,659/x
  3. Step 3: Cross multiply
    77,063x = 115,594.50 × 21,659
  4. Step 4: Simplify right side
    77,063x = 2,503,661,275.50
  5. Step 5: Solve for x
    x = 2,503,661,275.50/77,063
  6. Step 6: Final answer
    x = 32,488.50

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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.