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Finding the Fourth Proportional to 193,348, 266,820.32 and 117,912.16

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Solution

The fourth proportional to 193,348, 266,820.32 and 117,912.16 is: 162,718.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,348 : 266,820.32 = 117,912.16 : x
  2. Step 2: Convert to fraction form
    193,348/266,820.32 = 117,912.16/x
  3. Step 3: Cross multiply
    193,348x = 266,820.32 × 117,912.16
  4. Step 4: Simplify right side
    193,348x = 31,461,360,263.09
  5. Step 5: Solve for x
    x = 31,461,360,263.09/193,348
  6. Step 6: Final answer
    x = 162,718.83

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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.