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Finding the Fourth Proportional to 86,584.80, 129,812.40 and 47,186.40

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Solution

The fourth proportional to 86,584.80, 129,812.40 and 47,186.40 is: 70,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,584.80 : 129,812.40 = 47,186.40 : x
  2. Step 2: Convert to fraction form
    86,584.80/129,812.40 = 47,186.40/x
  3. Step 3: Cross multiply
    86,584.80x = 129,812.40 × 47,186.40
  4. Step 4: Simplify right side
    86,584.80x = 6,125,379,831.36
  5. Step 5: Solve for x
    x = 6,125,379,831.36/86,584.80
  6. Step 6: Final answer
    x = 70,744.29

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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.