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Finding the Fourth Proportional to 202,709.40, 279,739.62 and 112,070.40

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Solution

The fourth proportional to 202,709.40, 279,739.62 and 112,070.40 is: 154,657.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,709.40 : 279,739.62 = 112,070.40 : x
  2. Step 2: Convert to fraction form
    202,709.40/279,739.62 = 112,070.40/x
  3. Step 3: Cross multiply
    202,709.40x = 279,739.62 × 112,070.40
  4. Step 4: Simplify right side
    202,709.40x = 31,350,531,109.25
  5. Step 5: Solve for x
    x = 31,350,531,109.25/202,709.40
  6. Step 6: Final answer
    x = 154,657.51

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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.