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Finding the Fourth Proportional to 213,782.90, 294,973.58 and 127,728.97

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Solution

The fourth proportional to 213,782.90, 294,973.58 and 127,728.97 is: 176,238.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,782.90 : 294,973.58 = 127,728.97 : x
  2. Step 2: Convert to fraction form
    213,782.90/294,973.58 = 127,728.97/x
  3. Step 3: Cross multiply
    213,782.90x = 294,973.58 × 127,728.97
  4. Step 4: Simplify right side
    213,782.90x = 37,676,671,132.50
  5. Step 5: Solve for x
    x = 37,676,671,132.50/213,782.90
  6. Step 6: Final answer
    x = 176,238.01

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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.