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Finding the Fourth Proportional to 201,555.60, 302,430.60 and 142,263.60

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Solution

The fourth proportional to 201,555.60, 302,430.60 and 142,263.60 is: 213,464.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,555.60 : 302,430.60 = 142,263.60 : x
  2. Step 2: Convert to fraction form
    201,555.60/302,430.60 = 142,263.60/x
  3. Step 3: Cross multiply
    201,555.60x = 302,430.60 × 142,263.60
  4. Step 4: Simplify right side
    201,555.60x = 43,024,865,906.16
  5. Step 5: Solve for x
    x = 43,024,865,906.16/201,555.60
  6. Step 6: Final answer
    x = 213,464.01

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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.