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Finding the Fourth Proportional to 105,714, 145,889.74 and 57,969.18

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Solution

The fourth proportional to 105,714, 145,889.74 and 57,969.18 is: 79,999.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,714 : 145,889.74 = 57,969.18 : x
  2. Step 2: Convert to fraction form
    105,714/145,889.74 = 57,969.18/x
  3. Step 3: Cross multiply
    105,714x = 145,889.74 × 57,969.18
  4. Step 4: Simplify right side
    105,714x = 8,457,108,598.21
  5. Step 5: Solve for x
    x = 8,457,108,598.21/105,714
  6. Step 6: Final answer
    x = 79,999.89

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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.