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Finding the Fourth Proportional to 163,703.32, 225,941.58 and 102,478.01

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Solution

The fourth proportional to 163,703.32, 225,941.58 and 102,478.01 is: 141,439.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,703.32 : 225,941.58 = 102,478.01 : x
  2. Step 2: Convert to fraction form
    163,703.32/225,941.58 = 102,478.01/x
  3. Step 3: Cross multiply
    163,703.32x = 225,941.58 × 102,478.01
  4. Step 4: Simplify right side
    163,703.32x = 23,154,042,364.95
  5. Step 5: Solve for x
    x = 23,154,042,364.95/163,703.32
  6. Step 6: Final answer
    x = 141,439.05

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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.