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Finding the Fourth Proportional to 255,806.64, 353,045.25 and 146,945.07

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Solution

The fourth proportional to 255,806.64, 353,045.25 and 146,945.07 is: 202,802.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,806.64 : 353,045.25 = 146,945.07 : x
  2. Step 2: Convert to fraction form
    255,806.64/353,045.25 = 146,945.07/x
  3. Step 3: Cross multiply
    255,806.64x = 353,045.25 × 146,945.07
  4. Step 4: Simplify right side
    255,806.64x = 51,878,258,974.42
  5. Step 5: Solve for x
    x = 51,878,258,974.42/255,806.64
  6. Step 6: Final answer
    x = 202,802.63

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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.