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Finding the Fourth Proportional to 290,097.60, 435,157.12 and 79,752

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Solution

The fourth proportional to 290,097.60, 435,157.12 and 79,752 is: 119,630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,097.60 : 435,157.12 = 79,752 : x
  2. Step 2: Convert to fraction form
    290,097.60/435,157.12 = 79,752/x
  3. Step 3: Cross multiply
    290,097.60x = 435,157.12 × 79,752
  4. Step 4: Simplify right side
    290,097.60x = 34,704,650,634.24
  5. Step 5: Solve for x
    x = 34,704,650,634.24/290,097.60
  6. Step 6: Final answer
    x = 119,630.95

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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.