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Finding the Fourth Proportional to 211,602.85, 317,237.27 and 104,913.25

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Solution

The fourth proportional to 211,602.85, 317,237.27 and 104,913.25 is: 157,287.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,602.85 : 317,237.27 = 104,913.25 : x
  2. Step 2: Convert to fraction form
    211,602.85/317,237.27 = 104,913.25/x
  3. Step 3: Cross multiply
    211,602.85x = 317,237.27 × 104,913.25
  4. Step 4: Simplify right side
    211,602.85x = 33,282,391,699.17
  5. Step 5: Solve for x
    x = 33,282,391,699.17/211,602.85
  6. Step 6: Final answer
    x = 157,287.07

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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.