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Finding the Fourth Proportional to 79,254.48, 109,364.80 and 45,714

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Solution

The fourth proportional to 79,254.48, 109,364.80 and 45,714 is: 63,081.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,254.48 : 109,364.80 = 45,714 : x
  2. Step 2: Convert to fraction form
    79,254.48/109,364.80 = 45,714/x
  3. Step 3: Cross multiply
    79,254.48x = 109,364.80 × 45,714
  4. Step 4: Simplify right side
    79,254.48x = 4,999,502,467.20
  5. Step 5: Solve for x
    x = 4,999,502,467.20/79,254.48
  6. Step 6: Final answer
    x = 63,081.64

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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.