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Finding the Fourth Proportional to 163,817.10, 225,980.90 and 112,741.16

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Solution

The fourth proportional to 163,817.10, 225,980.90 and 112,741.16 is: 155,523.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,817.10 : 225,980.90 = 112,741.16 : x
  2. Step 2: Convert to fraction form
    163,817.10/225,980.90 = 112,741.16/x
  3. Step 3: Cross multiply
    163,817.10x = 225,980.90 × 112,741.16
  4. Step 4: Simplify right side
    163,817.10x = 25,477,348,803.84
  5. Step 5: Solve for x
    x = 25,477,348,803.84/163,817.10
  6. Step 6: Final answer
    x = 155,523.13

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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.