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Finding the Fourth Proportional to 201,705.70, 301,902.45 and 157,090.90

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Solution

The fourth proportional to 201,705.70, 301,902.45 and 157,090.90 is: 235,125.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,705.70 : 301,902.45 = 157,090.90 : x
  2. Step 2: Convert to fraction form
    201,705.70/301,902.45 = 157,090.90/x
  3. Step 3: Cross multiply
    201,705.70x = 301,902.45 × 157,090.90
  4. Step 4: Simplify right side
    201,705.70x = 47,426,127,582.71
  5. Step 5: Solve for x
    x = 47,426,127,582.71/201,705.70
  6. Step 6: Final answer
    x = 235,125.37

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1.5x scale

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.