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Finding the Fourth Proportional to 153,102, 211,276.44 and 86,035.44

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Solution

The fourth proportional to 153,102, 211,276.44 and 86,035.44 is: 118,726.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,102 : 211,276.44 = 86,035.44 : x
  2. Step 2: Convert to fraction form
    153,102/211,276.44 = 86,035.44/x
  3. Step 3: Cross multiply
    153,102x = 211,276.44 × 86,035.44
  4. Step 4: Simplify right side
    153,102x = 18,177,261,477.03
  5. Step 5: Solve for x
    x = 18,177,261,477.03/153,102
  6. Step 6: Final answer
    x = 118,726.48

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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.