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Finding the Fourth Proportional to 213,237.60, 319,710.60 and 100,971.60

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Solution

The fourth proportional to 213,237.60, 319,710.60 and 100,971.60 is: 151,388.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,237.60 : 319,710.60 = 100,971.60 : x
  2. Step 2: Convert to fraction form
    213,237.60/319,710.60 = 100,971.60/x
  3. Step 3: Cross multiply
    213,237.60x = 319,710.60 × 100,971.60
  4. Step 4: Simplify right side
    213,237.60x = 32,281,690,818.96
  5. Step 5: Solve for x
    x = 32,281,690,818.96/213,237.60
  6. Step 6: Final answer
    x = 151,388.36

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1.5x scale

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.