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Finding the Fourth Proportional to 86,809.65, 119,762.04 and 56,584.36

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Solution

The fourth proportional to 86,809.65, 119,762.04 and 56,584.36 is: 78,063.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,809.65 : 119,762.04 = 56,584.36 : x
  2. Step 2: Convert to fraction form
    86,809.65/119,762.04 = 56,584.36/x
  3. Step 3: Cross multiply
    86,809.65x = 119,762.04 × 56,584.36
  4. Step 4: Simplify right side
    86,809.65x = 6,776,658,385.69
  5. Step 5: Solve for x
    x = 6,776,658,385.69/86,809.65
  6. Step 6: Final answer
    x = 78,063.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.