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Finding the Fourth Proportional to 193,030.40, 289,468.80 and 68,307.20

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Solution

The fourth proportional to 193,030.40, 289,468.80 and 68,307.20 is: 102,433.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,030.40 : 289,468.80 = 68,307.20 : x
  2. Step 2: Convert to fraction form
    193,030.40/289,468.80 = 68,307.20/x
  3. Step 3: Cross multiply
    193,030.40x = 289,468.80 × 68,307.20
  4. Step 4: Simplify right side
    193,030.40x = 19,772,803,215.36
  5. Step 5: Solve for x
    x = 19,772,803,215.36/193,030.40
  6. Step 6: Final answer
    x = 102,433.62

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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.