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Finding the Fourth Proportional to 170,810, 235,780.70 and 102,830.14

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Solution

The fourth proportional to 170,810, 235,780.70 and 102,830.14 is: 141,943.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,810 : 235,780.70 = 102,830.14 : x
  2. Step 2: Convert to fraction form
    170,810/235,780.70 = 102,830.14/x
  3. Step 3: Cross multiply
    170,810x = 235,780.70 × 102,830.14
  4. Step 4: Simplify right side
    170,810x = 24,245,362,390.30
  5. Step 5: Solve for x
    x = 24,245,362,390.30/170,810
  6. Step 6: Final answer
    x = 141,943.46

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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.