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Finding the Fourth Proportional to 152,763.90, 210,796.92 and 84,763.20

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Solution

The fourth proportional to 152,763.90, 210,796.92 and 84,763.20 is: 116,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,763.90 : 210,796.92 = 84,763.20 : x
  2. Step 2: Convert to fraction form
    152,763.90/210,796.92 = 84,763.20/x
  3. Step 3: Cross multiply
    152,763.90x = 210,796.92 × 84,763.20
  4. Step 4: Simplify right side
    152,763.90x = 17,867,821,489.34
  5. Step 5: Solve for x
    x = 17,867,821,489.34/152,763.90
  6. Step 6: Final answer
    x = 116,963.64

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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.