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Finding the Fourth Proportional to 211,505.76, 316,835.62 and 127,219.36

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Solution

The fourth proportional to 211,505.76, 316,835.62 and 127,219.36 is: 190,574.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,505.76 : 316,835.62 = 127,219.36 : x
  2. Step 2: Convert to fraction form
    211,505.76/316,835.62 = 127,219.36/x
  3. Step 3: Cross multiply
    211,505.76x = 316,835.62 × 127,219.36
  4. Step 4: Simplify right side
    211,505.76x = 40,307,624,801.60
  5. Step 5: Solve for x
    x = 40,307,624,801.60/211,505.76
  6. Step 6: Final answer
    x = 190,574.60

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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.