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Finding the Fourth Proportional to 86,706.15, 130,069.65 and 30,534.65

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Solution

The fourth proportional to 86,706.15, 130,069.65 and 30,534.65 is: 45,805.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,706.15 : 130,069.65 = 30,534.65 : x
  2. Step 2: Convert to fraction form
    86,706.15/130,069.65 = 30,534.65/x
  3. Step 3: Cross multiply
    86,706.15x = 130,069.65 × 30,534.65
  4. Step 4: Simplify right side
    86,706.15x = 3,971,631,563.55
  5. Step 5: Solve for x
    x = 3,971,631,563.55/86,706.15
  6. Step 6: Final answer
    x = 45,805.65

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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.