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Finding the Fourth Proportional to 209,096.08, 313,643.64 and 90,752.08

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Solution

The fourth proportional to 209,096.08, 313,643.64 and 90,752.08 is: 136,127.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,096.08 : 313,643.64 = 90,752.08 : x
  2. Step 2: Convert to fraction form
    209,096.08/313,643.64 = 90,752.08/x
  3. Step 3: Cross multiply
    209,096.08x = 313,643.64 × 90,752.08
  4. Step 4: Simplify right side
    209,096.08x = 28,463,812,708.77
  5. Step 5: Solve for x
    x = 28,463,812,708.77/209,096.08
  6. Step 6: Final answer
    x = 136,127.91

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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.