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Finding the Fourth Proportional to 258,953.13, 388,026.81 and 98,941.82

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Solution

The fourth proportional to 258,953.13, 388,026.81 and 98,941.82 is: 148,258.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,953.13 : 388,026.81 = 98,941.82 : x
  2. Step 2: Convert to fraction form
    258,953.13/388,026.81 = 98,941.82/x
  3. Step 3: Cross multiply
    258,953.13x = 388,026.81 × 98,941.82
  4. Step 4: Simplify right side
    258,953.13x = 38,392,076,850.06
  5. Step 5: Solve for x
    x = 38,392,076,850.06/258,953.13
  6. Step 6: Final answer
    x = 148,258.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.