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Finding the Fourth Proportional to 115,010, 171,807.52 and 83,147.84

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Solution

The fourth proportional to 115,010, 171,807.52 and 83,147.84 is: 124,210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,010 : 171,807.52 = 83,147.84 : x
  2. Step 2: Convert to fraction form
    115,010/171,807.52 = 83,147.84/x
  3. Step 3: Cross multiply
    115,010x = 171,807.52 × 83,147.84
  4. Step 4: Simplify right side
    115,010x = 14,285,424,183.76
  5. Step 5: Solve for x
    x = 14,285,424,183.76/115,010
  6. Step 6: Final answer
    x = 124,210.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.