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Finding the Fourth Proportional to 105,714.38, 145,962.38 and 68,054.24

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Solution

The fourth proportional to 105,714.38, 145,962.38 and 68,054.24 is: 93,964.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,714.38 : 145,962.38 = 68,054.24 : x
  2. Step 2: Convert to fraction form
    105,714.38/145,962.38 = 68,054.24/x
  3. Step 3: Cross multiply
    105,714.38x = 145,962.38 × 68,054.24
  4. Step 4: Simplify right side
    105,714.38x = 9,933,358,839.49
  5. Step 5: Solve for x
    x = 9,933,358,839.49/105,714.38
  6. Step 6: Final answer
    x = 93,964.12

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1.5x scale

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.