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Finding the Fourth Proportional to 202,965.53, 280,085.51 and 112,325.31

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Solution

The fourth proportional to 202,965.53, 280,085.51 and 112,325.31 is: 155,005.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,965.53 : 280,085.51 = 112,325.31 : x
  2. Step 2: Convert to fraction form
    202,965.53/280,085.51 = 112,325.31/x
  3. Step 3: Cross multiply
    202,965.53x = 280,085.51 × 112,325.31
  4. Step 4: Simplify right side
    202,965.53x = 31,460,692,018.07
  5. Step 5: Solve for x
    x = 31,460,692,018.07/202,965.53
  6. Step 6: Final answer
    x = 155,005.10

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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.