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Finding the Fourth Proportional to 219,571.30, 302,973.95 and 127,710.91

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Solution

The fourth proportional to 219,571.30, 302,973.95 and 127,710.91 is: 176,221.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,571.30 : 302,973.95 = 127,710.91 : x
  2. Step 2: Convert to fraction form
    219,571.30/302,973.95 = 127,710.91/x
  3. Step 3: Cross multiply
    219,571.30x = 302,973.95 × 127,710.91
  4. Step 4: Simplify right side
    219,571.30x = 38,693,076,707.37
  5. Step 5: Solve for x
    x = 38,693,076,707.37/219,571.30
  6. Step 6: Final answer
    x = 176,221.02

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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.