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Finding the Fourth Proportional to 163,980.54, 245,886.38 and 75,157.98

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Solution

The fourth proportional to 163,980.54, 245,886.38 and 75,157.98 is: 112,698.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,980.54 : 245,886.38 = 75,157.98 : x
  2. Step 2: Convert to fraction form
    163,980.54/245,886.38 = 75,157.98/x
  3. Step 3: Cross multiply
    163,980.54x = 245,886.38 × 75,157.98
  4. Step 4: Simplify right side
    163,980.54x = 18,480,323,630.31
  5. Step 5: Solve for x
    x = 18,480,323,630.31/163,980.54
  6. Step 6: Final answer
    x = 112,698.27

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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.