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Finding the Fourth Proportional to 86,705.87, 130,069.23 and 30,534.37

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Solution

The fourth proportional to 86,705.87, 130,069.23 and 30,534.37 is: 45,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,705.87 : 130,069.23 = 30,534.37 : x
  2. Step 2: Convert to fraction form
    86,705.87/130,069.23 = 30,534.37/x
  3. Step 3: Cross multiply
    86,705.87x = 130,069.23 × 30,534.37
  4. Step 4: Simplify right side
    86,705.87x = 3,971,581,798.64
  5. Step 5: Solve for x
    x = 3,971,581,798.64/86,705.87
  6. Step 6: Final answer
    x = 45,805.22

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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.