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Finding the Fourth Proportional to 202,189.96, 279,023.07 and 111,547

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Solution

The fourth proportional to 202,189.96, 279,023.07 and 111,547 is: 153,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,189.96 : 279,023.07 = 111,547 : x
  2. Step 2: Convert to fraction form
    202,189.96/279,023.07 = 111,547/x
  3. Step 3: Cross multiply
    202,189.96x = 279,023.07 × 111,547
  4. Step 4: Simplify right side
    202,189.96x = 31,124,186,389.29
  5. Step 5: Solve for x
    x = 31,124,186,389.29/202,189.96
  6. Step 6: Final answer
    x = 153,935.37

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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.