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Finding the Fourth Proportional to 210,114.87, 289,946.68 and 119,458.32

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Solution

The fourth proportional to 210,114.87, 289,946.68 and 119,458.32 is: 164,845.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,114.87 : 289,946.68 = 119,458.32 : x
  2. Step 2: Convert to fraction form
    210,114.87/289,946.68 = 119,458.32/x
  3. Step 3: Cross multiply
    210,114.87x = 289,946.68 × 119,458.32
  4. Step 4: Simplify right side
    210,114.87x = 34,636,543,282.38
  5. Step 5: Solve for x
    x = 34,636,543,282.38/210,114.87
  6. Step 6: Final answer
    x = 164,845.75

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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.