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Finding the Fourth Proportional to 202,210.90, 303,316.35 and 139,225.30

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Solution

The fourth proportional to 202,210.90, 303,316.35 and 139,225.30 is: 208,837.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,210.90 : 303,316.35 = 139,225.30 : x
  2. Step 2: Convert to fraction form
    202,210.90/303,316.35 = 139,225.30/x
  3. Step 3: Cross multiply
    202,210.90x = 303,316.35 × 139,225.30
  4. Step 4: Simplify right side
    202,210.90x = 42,229,309,823.66
  5. Step 5: Solve for x
    x = 42,229,309,823.66/202,210.90
  6. Step 6: Final answer
    x = 208,837.95

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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.