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Finding the Fourth Proportional to 209,535.68, 289,166.64 and 118,892

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Solution

The fourth proportional to 209,535.68, 289,166.64 and 118,892 is: 164,075.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,535.68 : 289,166.64 = 118,892 : x
  2. Step 2: Convert to fraction form
    209,535.68/289,166.64 = 118,892/x
  3. Step 3: Cross multiply
    209,535.68x = 289,166.64 × 118,892
  4. Step 4: Simplify right side
    209,535.68x = 34,379,600,162.88
  5. Step 5: Solve for x
    x = 34,379,600,162.88/209,535.68
  6. Step 6: Final answer
    x = 164,075.16

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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.