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Finding the Fourth Proportional to 209,484.63, 314,186.38 and 81,400.68

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Solution

The fourth proportional to 209,484.63, 314,186.38 and 81,400.68 is: 122,085.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,484.63 : 314,186.38 = 81,400.68 : x
  2. Step 2: Convert to fraction form
    209,484.63/314,186.38 = 81,400.68/x
  3. Step 3: Cross multiply
    209,484.63x = 314,186.38 × 81,400.68
  4. Step 4: Simplify right side
    209,484.63x = 25,574,984,775.24
  5. Step 5: Solve for x
    x = 25,574,984,775.24/209,484.63
  6. Step 6: Final answer
    x = 122,085.26

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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.