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Finding the Fourth Proportional to 86,707.40, 129,734.06 and 51,188.04

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Solution

The fourth proportional to 86,707.40, 129,734.06 and 51,188.04 is: 76,588.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,707.40 : 129,734.06 = 51,188.04 : x
  2. Step 2: Convert to fraction form
    86,707.40/129,734.06 = 51,188.04/x
  3. Step 3: Cross multiply
    86,707.40x = 129,734.06 × 51,188.04
  4. Step 4: Simplify right side
    86,707.40x = 6,640,832,252.64
  5. Step 5: Solve for x
    x = 6,640,832,252.64/86,707.40
  6. Step 6: Final answer
    x = 76,588.99

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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.