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Finding the Fourth Proportional to 153,904, 212,400.48 and 86,848.96

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Solution

The fourth proportional to 153,904, 212,400.48 and 86,848.96 is: 119,858.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,904 : 212,400.48 = 86,848.96 : x
  2. Step 2: Convert to fraction form
    153,904/212,400.48 = 86,848.96/x
  3. Step 3: Cross multiply
    153,904x = 212,400.48 × 86,848.96
  4. Step 4: Simplify right side
    153,904x = 18,446,760,791.50
  5. Step 5: Solve for x
    x = 18,446,760,791.50/153,904
  6. Step 6: Final answer
    x = 119,858.88

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1.5x scale

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.