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Finding the Fourth Proportional to 230,130, 317,415.80 and 153,610.50

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Solution

The fourth proportional to 230,130, 317,415.80 and 153,610.50 is: 211,873.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,130 : 317,415.80 = 153,610.50 : x
  2. Step 2: Convert to fraction form
    230,130/317,415.80 = 153,610.50/x
  3. Step 3: Cross multiply
    230,130x = 317,415.80 × 153,610.50
  4. Step 4: Simplify right side
    230,130x = 48,758,399,745.90
  5. Step 5: Solve for x
    x = 48,758,399,745.90/230,130
  6. Step 6: Final answer
    x = 211,873.29

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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.