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Finding the Fourth Proportional to 208,024.80, 312,145.20 and 97,216.80

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Solution

The fourth proportional to 208,024.80, 312,145.20 and 97,216.80 is: 145,875.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,024.80 : 312,145.20 = 97,216.80 : x
  2. Step 2: Convert to fraction form
    208,024.80/312,145.20 = 97,216.80/x
  3. Step 3: Cross multiply
    208,024.80x = 312,145.20 × 97,216.80
  4. Step 4: Simplify right side
    208,024.80x = 30,345,757,479.36
  5. Step 5: Solve for x
    x = 30,345,757,479.36/208,024.80
  6. Step 6: Final answer
    x = 145,875.67

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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.