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Finding the Fourth Proportional to 211,602.36, 317,541.78 and 100,803

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Solution

The fourth proportional to 211,602.36, 317,541.78 and 100,803 is: 151,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,602.36 : 317,541.78 = 100,803 : x
  2. Step 2: Convert to fraction form
    211,602.36/317,541.78 = 100,803/x
  3. Step 3: Cross multiply
    211,602.36x = 317,541.78 × 100,803
  4. Step 4: Simplify right side
    211,602.36x = 32,009,164,049.34
  5. Step 5: Solve for x
    x = 32,009,164,049.34/211,602.36
  6. Step 6: Final answer
    x = 151,270.35

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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.