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Finding the Fourth Proportional to 209,034.40, 313,460.88 and 75,870.40

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Solution

The fourth proportional to 209,034.40, 313,460.88 and 75,870.40 is: 113,772.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,034.40 : 313,460.88 = 75,870.40 : x
  2. Step 2: Convert to fraction form
    209,034.40/313,460.88 = 75,870.40/x
  3. Step 3: Cross multiply
    209,034.40x = 313,460.88 × 75,870.40
  4. Step 4: Simplify right side
    209,034.40x = 23,782,402,349.95
  5. Step 5: Solve for x
    x = 23,782,402,349.95/209,034.40
  6. Step 6: Final answer
    x = 113,772.67

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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.