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Finding the Fourth Proportional to 209,599.72, 289,222.50 and 118,966.12

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Solution

The fourth proportional to 209,599.72, 289,222.50 and 118,966.12 is: 164,158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,599.72 : 289,222.50 = 118,966.12 : x
  2. Step 2: Convert to fraction form
    209,599.72/289,222.50 = 118,966.12/x
  3. Step 3: Cross multiply
    209,599.72x = 289,222.50 × 118,966.12
  4. Step 4: Simplify right side
    209,599.72x = 34,407,678,641.70
  5. Step 5: Solve for x
    x = 34,407,678,641.70/209,599.72
  6. Step 6: Final answer
    x = 164,158.99

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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.