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Finding the Fourth Proportional to 201,600.18, 302,587.08 and 101,830.30

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Solution

The fourth proportional to 201,600.18, 302,587.08 and 101,830.30 is: 152,839.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,600.18 : 302,587.08 = 101,830.30 : x
  2. Step 2: Convert to fraction form
    201,600.18/302,587.08 = 101,830.30/x
  3. Step 3: Cross multiply
    201,600.18x = 302,587.08 × 101,830.30
  4. Step 4: Simplify right side
    201,600.18x = 30,812,533,132.52
  5. Step 5: Solve for x
    x = 30,812,533,132.52/201,600.18
  6. Step 6: Final answer
    x = 152,839.81

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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.