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Finding the Fourth Proportional to 302,672.67, 454,035.12 and 78,031.20

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Solution

The fourth proportional to 302,672.67, 454,035.12 and 78,031.20 is: 117,053.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,672.67 : 454,035.12 = 78,031.20 : x
  2. Step 2: Convert to fraction form
    302,672.67/454,035.12 = 78,031.20/x
  3. Step 3: Cross multiply
    302,672.67x = 454,035.12 × 78,031.20
  4. Step 4: Simplify right side
    302,672.67x = 35,428,905,255.74
  5. Step 5: Solve for x
    x = 35,428,905,255.74/302,672.67
  6. Step 6: Final answer
    x = 117,053.53

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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.