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Finding the Fourth Proportional to 202,154.80, 303,341.55 and 83,838.10

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Solution

The fourth proportional to 202,154.80, 303,341.55 and 83,838.10 is: 125,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,154.80 : 303,341.55 = 83,838.10 : x
  2. Step 2: Convert to fraction form
    202,154.80/303,341.55 = 83,838.10/x
  3. Step 3: Cross multiply
    202,154.80x = 303,341.55 × 83,838.10
  4. Step 4: Simplify right side
    202,154.80x = 25,431,579,203.06
  5. Step 5: Solve for x
    x = 25,431,579,203.06/202,154.80
  6. Step 6: Final answer
    x = 125,802.50

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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.