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Finding the Fourth Proportional to 106,967.37, 147,578.70 and 61,643.93

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Solution

The fourth proportional to 106,967.37, 147,578.70 and 61,643.93 is: 85,047.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,967.37 : 147,578.70 = 61,643.93 : x
  2. Step 2: Convert to fraction form
    106,967.37/147,578.70 = 61,643.93/x
  3. Step 3: Cross multiply
    106,967.37x = 147,578.70 × 61,643.93
  4. Step 4: Simplify right side
    106,967.37x = 9,097,330,314.40
  5. Step 5: Solve for x
    x = 9,097,330,314.40/106,967.37
  6. Step 6: Final answer
    x = 85,047.71

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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.