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Finding the Fourth Proportional to 210,112.74, 289,969.29 and 119,477.14

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Solution

The fourth proportional to 210,112.74, 289,969.29 and 119,477.14 is: 164,886.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,112.74 : 289,969.29 = 119,477.14 : x
  2. Step 2: Convert to fraction form
    210,112.74/289,969.29 = 119,477.14/x
  3. Step 3: Cross multiply
    210,112.74x = 289,969.29 × 119,477.14
  4. Step 4: Simplify right side
    210,112.74x = 34,644,701,457.03
  5. Step 5: Solve for x
    x = 34,644,701,457.03/210,112.74
  6. Step 6: Final answer
    x = 164,886.25

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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.