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Finding the Fourth Proportional to 90,820, 136,230.59 and 31,656.79

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Solution

The fourth proportional to 90,820, 136,230.59 and 31,656.79 is: 47,485.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,820 : 136,230.59 = 31,656.79 : x
  2. Step 2: Convert to fraction form
    90,820/136,230.59 = 31,656.79/x
  3. Step 3: Cross multiply
    90,820x = 136,230.59 × 31,656.79
  4. Step 4: Simplify right side
    90,820x = 4,312,623,179.21
  5. Step 5: Solve for x
    x = 4,312,623,179.21/90,820
  6. Step 6: Final answer
    x = 47,485.39

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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.