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Finding the Fourth Proportional to 201,685.20, 301,871.70 and 157,070.40

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Solution

The fourth proportional to 201,685.20, 301,871.70 and 157,070.40 is: 235,094.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,685.20 : 301,871.70 = 157,070.40 : x
  2. Step 2: Convert to fraction form
    201,685.20/301,871.70 = 157,070.40/x
  3. Step 3: Cross multiply
    201,685.20x = 301,871.70 × 157,070.40
  4. Step 4: Simplify right side
    201,685.20x = 47,415,108,667.68
  5. Step 5: Solve for x
    x = 47,415,108,667.68/201,685.20
  6. Step 6: Final answer
    x = 235,094.64

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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.