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Finding the Fourth Proportional to 86,596.80, 129,830.40 and 47,198.40

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Solution

The fourth proportional to 86,596.80, 129,830.40 and 47,198.40 is: 70,762.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,596.80 : 129,830.40 = 47,198.40 : x
  2. Step 2: Convert to fraction form
    86,596.80/129,830.40 = 47,198.40/x
  3. Step 3: Cross multiply
    86,596.80x = 129,830.40 × 47,198.40
  4. Step 4: Simplify right side
    86,596.80x = 6,127,787,151.36
  5. Step 5: Solve for x
    x = 6,127,787,151.36/86,596.80
  6. Step 6: Final answer
    x = 70,762.28

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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.