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Finding the Fourth Proportional to 86,431, 129,646.50 and 28,063

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Solution

The fourth proportional to 86,431, 129,646.50 and 28,063 is: 42,094.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,431 : 129,646.50 = 28,063 : x
  2. Step 2: Convert to fraction form
    86,431/129,646.50 = 28,063/x
  3. Step 3: Cross multiply
    86,431x = 129,646.50 × 28,063
  4. Step 4: Simplify right side
    86,431x = 3,638,269,729.50
  5. Step 5: Solve for x
    x = 3,638,269,729.50/86,431
  6. Step 6: Final answer
    x = 42,094.50

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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.