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Finding the Fourth Proportional to 122,590.40, 183,967.68 and 52,486.88

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Solution

The fourth proportional to 122,590.40, 183,967.68 and 52,486.88 is: 78,765.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,590.40 : 183,967.68 = 52,486.88 : x
  2. Step 2: Convert to fraction form
    122,590.40/183,967.68 = 52,486.88/x
  3. Step 3: Cross multiply
    122,590.40x = 183,967.68 × 52,486.88
  4. Step 4: Simplify right side
    122,590.40x = 9,655,889,544.04
  5. Step 5: Solve for x
    x = 9,655,889,544.04/122,590.40
  6. Step 6: Final answer
    x = 78,765.46

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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.