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Finding the Fourth Proportional to 86,134.19, 129,145.19 and 29,970

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Solution

The fourth proportional to 86,134.19, 129,145.19 and 29,970 is: 44,935.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,134.19 : 129,145.19 = 29,970 : x
  2. Step 2: Convert to fraction form
    86,134.19/129,145.19 = 29,970/x
  3. Step 3: Cross multiply
    86,134.19x = 129,145.19 × 29,970
  4. Step 4: Simplify right side
    86,134.19x = 3,870,481,194.45
  5. Step 5: Solve for x
    x = 3,870,481,194.45/86,134.19
  6. Step 6: Final answer
    x = 44,935.48

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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.