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Finding the Fourth Proportional to 153,978, 212,489.64 and 86,914.32

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Solution

The fourth proportional to 153,978, 212,489.64 and 86,914.32 is: 119,941.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,978 : 212,489.64 = 86,914.32 : x
  2. Step 2: Convert to fraction form
    153,978/212,489.64 = 86,914.32/x
  3. Step 3: Cross multiply
    153,978x = 212,489.64 × 86,914.32
  4. Step 4: Simplify right side
    153,978x = 18,468,392,567.64
  5. Step 5: Solve for x
    x = 18,468,392,567.64/153,978
  6. Step 6: Final answer
    x = 119,941.76

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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.