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Finding the Fourth Proportional to 202,254, 279,110.64 and 112,830

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Solution

The fourth proportional to 202,254, 279,110.64 and 112,830 is: 155,705.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,254 : 279,110.64 = 112,830 : x
  2. Step 2: Convert to fraction form
    202,254/279,110.64 = 112,830/x
  3. Step 3: Cross multiply
    202,254x = 279,110.64 × 112,830
  4. Step 4: Simplify right side
    202,254x = 31,492,053,511.20
  5. Step 5: Solve for x
    x = 31,492,053,511.20/202,254
  6. Step 6: Final answer
    x = 155,705.47

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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.