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Finding the Fourth Proportional to 213,904, 295,265.28 and 124,480

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Solution

The fourth proportional to 213,904, 295,265.28 and 124,480 is: 171,827.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,904 : 295,265.28 = 124,480 : x
  2. Step 2: Convert to fraction form
    213,904/295,265.28 = 124,480/x
  3. Step 3: Cross multiply
    213,904x = 295,265.28 × 124,480
  4. Step 4: Simplify right side
    213,904x = 36,754,622,054.40
  5. Step 5: Solve for x
    x = 36,754,622,054.40/213,904
  6. Step 6: Final answer
    x = 171,827.65

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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.