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Finding the Fourth Proportional to 163,820.34, 245,728.08 and 53,012.34

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Solution

The fourth proportional to 163,820.34, 245,728.08 and 53,012.34 is: 79,517.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,820.34 : 245,728.08 = 53,012.34 : x
  2. Step 2: Convert to fraction form
    163,820.34/245,728.08 = 53,012.34/x
  3. Step 3: Cross multiply
    163,820.34x = 245,728.08 × 53,012.34
  4. Step 4: Simplify right side
    163,820.34x = 13,026,620,524.51
  5. Step 5: Solve for x
    x = 13,026,620,524.51/163,820.34
  6. Step 6: Final answer
    x = 79,517.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.