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Finding the Fourth Proportional to 202,066.40, 302,953.80 and 131,985.20

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Solution

The fourth proportional to 202,066.40, 302,953.80 and 131,985.20 is: 197,882.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,066.40 : 302,953.80 = 131,985.20 : x
  2. Step 2: Convert to fraction form
    202,066.40/302,953.80 = 131,985.20/x
  3. Step 3: Cross multiply
    202,066.40x = 302,953.80 × 131,985.20
  4. Step 4: Simplify right side
    202,066.40x = 39,985,417,883.76
  5. Step 5: Solve for x
    x = 39,985,417,883.76/202,066.40
  6. Step 6: Final answer
    x = 197,882.57

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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.