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Finding the Fourth Proportional to 198,411.63, 273,810.90 and 107,767.77

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Solution

The fourth proportional to 198,411.63, 273,810.90 and 107,767.77 is: 148,721.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,411.63 : 273,810.90 = 107,767.77 : x
  2. Step 2: Convert to fraction form
    198,411.63/273,810.90 = 107,767.77/x
  3. Step 3: Cross multiply
    198,411.63x = 273,810.90 × 107,767.77
  4. Step 4: Simplify right side
    198,411.63x = 29,507,990,094.69
  5. Step 5: Solve for x
    x = 29,507,990,094.69/198,411.63
  6. Step 6: Final answer
    x = 148,721.07

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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.