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Finding the Fourth Proportional to 218,730, 301,847.40 and 118,128

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Solution

The fourth proportional to 218,730, 301,847.40 and 118,128 is: 163,016.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,730 : 301,847.40 = 118,128 : x
  2. Step 2: Convert to fraction form
    218,730/301,847.40 = 118,128/x
  3. Step 3: Cross multiply
    218,730x = 301,847.40 × 118,128
  4. Step 4: Simplify right side
    218,730x = 35,656,629,667.20
  5. Step 5: Solve for x
    x = 35,656,629,667.20/218,730
  6. Step 6: Final answer
    x = 163,016.64

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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.