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Finding the Fourth Proportional to 202,969.30, 280,210.23 and 122,417.14

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Solution

The fourth proportional to 202,969.30, 280,210.23 and 122,417.14 is: 169,003.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,969.30 : 280,210.23 = 122,417.14 : x
  2. Step 2: Convert to fraction form
    202,969.30/280,210.23 = 122,417.14/x
  3. Step 3: Cross multiply
    202,969.30x = 280,210.23 × 122,417.14
  4. Step 4: Simplify right side
    202,969.30x = 34,302,534,955.34
  5. Step 5: Solve for x
    x = 34,302,534,955.34/202,969.30
  6. Step 6: Final answer
    x = 169,003.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.