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Finding the Fourth Proportional to 115,282.16, 172,982.04 and 77,763.60

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Solution

The fourth proportional to 115,282.16, 172,982.04 and 77,763.60 is: 116,685.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,282.16 : 172,982.04 = 77,763.60 : x
  2. Step 2: Convert to fraction form
    115,282.16/172,982.04 = 77,763.60/x
  3. Step 3: Cross multiply
    115,282.16x = 172,982.04 × 77,763.60
  4. Step 4: Simplify right side
    115,282.16x = 13,451,706,165.74
  5. Step 5: Solve for x
    x = 13,451,706,165.74/115,282.16
  6. Step 6: Final answer
    x = 116,685.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.