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Finding the Fourth Proportional to 106,967.10, 147,618 and 61,641.48

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Solution

The fourth proportional to 106,967.10, 147,618 and 61,641.48 is: 85,067.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,967.10 : 147,618 = 61,641.48 : x
  2. Step 2: Convert to fraction form
    106,967.10/147,618 = 61,641.48/x
  3. Step 3: Cross multiply
    106,967.10x = 147,618 × 61,641.48
  4. Step 4: Simplify right side
    106,967.10x = 9,099,391,994.64
  5. Step 5: Solve for x
    x = 9,099,391,994.64/106,967.10
  6. Step 6: Final answer
    x = 85,067.20

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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.