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Finding the Fourth Proportional to 201,875.20, 302,812.80 and 122,948.80

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Solution

The fourth proportional to 201,875.20, 302,812.80 and 122,948.80 is: 184,423.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,875.20 : 302,812.80 = 122,948.80 : x
  2. Step 2: Convert to fraction form
    201,875.20/302,812.80 = 122,948.80/x
  3. Step 3: Cross multiply
    201,875.20x = 302,812.80 × 122,948.80
  4. Step 4: Simplify right side
    201,875.20x = 37,230,470,384.64
  5. Step 5: Solve for x
    x = 37,230,470,384.64/201,875.20
  6. Step 6: Final answer
    x = 184,423.20

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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.