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Finding the Fourth Proportional to 209,509.55, 289,129.70 and 118,869.33

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Solution

The fourth proportional to 209,509.55, 289,129.70 and 118,869.33 is: 164,043.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,509.55 : 289,129.70 = 118,869.33 : x
  2. Step 2: Convert to fraction form
    209,509.55/289,129.70 = 118,869.33/x
  3. Step 3: Cross multiply
    209,509.55x = 289,129.70 × 118,869.33
  4. Step 4: Simplify right side
    209,509.55x = 34,368,655,103.51
  5. Step 5: Solve for x
    x = 34,368,655,103.51/209,509.55
  6. Step 6: Final answer
    x = 164,043.38

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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.