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Finding the Fourth Proportional to 213,810.78, 295,038.82 and 127,752.63

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Solution

The fourth proportional to 213,810.78, 295,038.82 and 127,752.63 is: 176,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,810.78 : 295,038.82 = 127,752.63 : x
  2. Step 2: Convert to fraction form
    213,810.78/295,038.82 = 127,752.63/x
  3. Step 3: Cross multiply
    213,810.78x = 295,038.82 × 127,752.63
  4. Step 4: Simplify right side
    213,810.78x = 37,691,985,207.10
  5. Step 5: Solve for x
    x = 37,691,985,207.10/213,810.78
  6. Step 6: Final answer
    x = 176,286.65

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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.