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Finding the Fourth Proportional to 151,648, 209,274.24 and 84,580

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Solution

The fourth proportional to 151,648, 209,274.24 and 84,580 is: 116,720.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,648 : 209,274.24 = 84,580 : x
  2. Step 2: Convert to fraction form
    151,648/209,274.24 = 84,580/x
  3. Step 3: Cross multiply
    151,648x = 209,274.24 × 84,580
  4. Step 4: Simplify right side
    151,648x = 17,700,415,219.20
  5. Step 5: Solve for x
    x = 17,700,415,219.20/151,648
  6. Step 6: Final answer
    x = 116,720.40

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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.