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Finding the Fourth Proportional to 201,637.30, 302,455.95 and 139,429.30

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Solution

The fourth proportional to 201,637.30, 302,455.95 and 139,429.30 is: 209,143.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,637.30 : 302,455.95 = 139,429.30 : x
  2. Step 2: Convert to fraction form
    201,637.30/302,455.95 = 139,429.30/x
  3. Step 3: Cross multiply
    201,637.30x = 302,455.95 × 139,429.30
  4. Step 4: Simplify right side
    201,637.30x = 42,171,221,389.34
  5. Step 5: Solve for x
    x = 42,171,221,389.34/201,637.30
  6. Step 6: Final answer
    x = 209,143.95

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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.