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Finding the Fourth Proportional to 122,369.82, 183,532.84 and 77,864.38

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Solution

The fourth proportional to 122,369.82, 183,532.84 and 77,864.38 is: 116,782.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,369.82 : 183,532.84 = 77,864.38 : x
  2. Step 2: Convert to fraction form
    122,369.82/183,532.84 = 77,864.38/x
  3. Step 3: Cross multiply
    122,369.82x = 183,532.84 × 77,864.38
  4. Step 4: Simplify right side
    122,369.82x = 14,290,670,796.24
  5. Step 5: Solve for x
    x = 14,290,670,796.24/122,369.82
  6. Step 6: Final answer
    x = 116,782.64

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1.5x scale

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.