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Finding the Fourth Proportional to 86,977, 130,465.50 and 21,313

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Solution

The fourth proportional to 86,977, 130,465.50 and 21,313 is: 31,969.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,977 : 130,465.50 = 21,313 : x
  2. Step 2: Convert to fraction form
    86,977/130,465.50 = 21,313/x
  3. Step 3: Cross multiply
    86,977x = 130,465.50 × 21,313
  4. Step 4: Simplify right side
    86,977x = 2,780,611,201.50
  5. Step 5: Solve for x
    x = 2,780,611,201.50/86,977
  6. Step 6: Final answer
    x = 31,969.50

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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.