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Finding the Fourth Proportional to 155,549.82, 214,656.30 and 87,566.64

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Solution

The fourth proportional to 155,549.82, 214,656.30 and 87,566.64 is: 120,840.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,549.82 : 214,656.30 = 87,566.64 : x
  2. Step 2: Convert to fraction form
    155,549.82/214,656.30 = 87,566.64/x
  3. Step 3: Cross multiply
    155,549.82x = 214,656.30 × 87,566.64
  4. Step 4: Simplify right side
    155,549.82x = 18,796,730,945.83
  5. Step 5: Solve for x
    x = 18,796,730,945.83/155,549.82
  6. Step 6: Final answer
    x = 120,840.58

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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.