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Finding the Fourth Proportional to 253,317.16, 380,080.36 and 111,088.80

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Solution

The fourth proportional to 253,317.16, 380,080.36 and 111,088.80 is: 166,679.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,317.16 : 380,080.36 = 111,088.80 : x
  2. Step 2: Convert to fraction form
    253,317.16/380,080.36 = 111,088.80/x
  3. Step 3: Cross multiply
    253,317.16x = 380,080.36 × 111,088.80
  4. Step 4: Simplify right side
    253,317.16x = 42,222,671,095.97
  5. Step 5: Solve for x
    x = 42,222,671,095.97/253,317.16
  6. Step 6: Final answer
    x = 166,679.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.