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Finding the Fourth Proportional to 77,059, 115,588.50 and 21,655

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Solution

The fourth proportional to 77,059, 115,588.50 and 21,655 is: 32,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,059 : 115,588.50 = 21,655 : x
  2. Step 2: Convert to fraction form
    77,059/115,588.50 = 21,655/x
  3. Step 3: Cross multiply
    77,059x = 115,588.50 × 21,655
  4. Step 4: Simplify right side
    77,059x = 2,503,068,967.50
  5. Step 5: Solve for x
    x = 2,503,068,967.50/77,059
  6. Step 6: Final answer
    x = 32,482.50

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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.