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Finding the Fourth Proportional to 201,423.80, 301,478.40 and 148,101.64

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Solution

The fourth proportional to 201,423.80, 301,478.40 and 148,101.64 is: 221,669.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,423.80 : 301,478.40 = 148,101.64 : x
  2. Step 2: Convert to fraction form
    201,423.80/301,478.40 = 148,101.64/x
  3. Step 3: Cross multiply
    201,423.80x = 301,478.40 × 148,101.64
  4. Step 4: Simplify right side
    201,423.80x = 44,649,445,464.58
  5. Step 5: Solve for x
    x = 44,649,445,464.58/201,423.80
  6. Step 6: Final answer
    x = 221,669.16

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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.