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Finding the Fourth Proportional to 163,984.40, 245,904.60 and 75,208.40

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Solution

The fourth proportional to 163,984.40, 245,904.60 and 75,208.40 is: 112,779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,984.40 : 245,904.60 = 75,208.40 : x
  2. Step 2: Convert to fraction form
    163,984.40/245,904.60 = 75,208.40/x
  3. Step 3: Cross multiply
    163,984.40x = 245,904.60 × 75,208.40
  4. Step 4: Simplify right side
    163,984.40x = 18,494,091,518.64
  5. Step 5: Solve for x
    x = 18,494,091,518.64/163,984.40
  6. Step 6: Final answer
    x = 112,779.58

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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.