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Finding the Fourth Proportional to 235,478.85, 353,088.68 and 77,626.05

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Solution

The fourth proportional to 235,478.85, 353,088.68 and 77,626.05 is: 116,396.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,478.85 : 353,088.68 = 77,626.05 : x
  2. Step 2: Convert to fraction form
    235,478.85/353,088.68 = 77,626.05/x
  3. Step 3: Cross multiply
    235,478.85x = 353,088.68 × 77,626.05
  4. Step 4: Simplify right side
    235,478.85x = 27,408,879,139.98
  5. Step 5: Solve for x
    x = 27,408,879,139.98/235,478.85
  6. Step 6: Final answer
    x = 116,396.35

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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.