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Finding the Fourth Proportional to 106,939.68, 147,643.68 and 68,714.64

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Solution

The fourth proportional to 106,939.68, 147,643.68 and 68,714.64 is: 94,869.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,939.68 : 147,643.68 = 68,714.64 : x
  2. Step 2: Convert to fraction form
    106,939.68/147,643.68 = 68,714.64/x
  3. Step 3: Cross multiply
    106,939.68x = 147,643.68 × 68,714.64
  4. Step 4: Simplify right side
    106,939.68x = 10,145,282,319.48
  5. Step 5: Solve for x
    x = 10,145,282,319.48/106,939.68
  6. Step 6: Final answer
    x = 94,869.20

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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.