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Finding the Fourth Proportional to 208,002.40, 311,888.40 and 89,653.60

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Solution

The fourth proportional to 208,002.40, 311,888.40 and 89,653.60 is: 134,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,002.40 : 311,888.40 = 89,653.60 : x
  2. Step 2: Convert to fraction form
    208,002.40/311,888.40 = 89,653.60/x
  3. Step 3: Cross multiply
    208,002.40x = 311,888.40 × 89,653.60
  4. Step 4: Simplify right side
    208,002.40x = 27,961,917,858.24
  5. Step 5: Solve for x
    x = 27,961,917,858.24/208,002.40
  6. Step 6: Final answer
    x = 134,430.75

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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.