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Finding the Fourth Proportional to 86,580, 119,482.25 and 47,817.63

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Solution

The fourth proportional to 86,580, 119,482.25 and 47,817.63 is: 65,989.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,580 : 119,482.25 = 47,817.63 : x
  2. Step 2: Convert to fraction form
    86,580/119,482.25 = 47,817.63/x
  3. Step 3: Cross multiply
    86,580x = 119,482.25 × 47,817.63
  4. Step 4: Simplify right side
    86,580x = 5,713,357,782.98
  5. Step 5: Solve for x
    x = 5,713,357,782.98/86,580
  6. Step 6: Final answer
    x = 65,989.35

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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.