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Finding the Fourth Proportional to 209,980.95, 289,775.07 and 114,489.24

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Solution

The fourth proportional to 209,980.95, 289,775.07 and 114,489.24 is: 157,995.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,980.95 : 289,775.07 = 114,489.24 : x
  2. Step 2: Convert to fraction form
    209,980.95/289,775.07 = 114,489.24/x
  3. Step 3: Cross multiply
    209,980.95x = 289,775.07 × 114,489.24
  4. Step 4: Simplify right side
    209,980.95x = 33,176,127,535.25
  5. Step 5: Solve for x
    x = 33,176,127,535.25/209,980.95
  6. Step 6: Final answer
    x = 157,995.89

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.