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Finding the Fourth Proportional to 45,413, 68,119.88 and 15,830.78

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Solution

The fourth proportional to 45,413, 68,119.88 and 15,830.78 is: 23,746.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,413 : 68,119.88 = 15,830.78 : x
  2. Step 2: Convert to fraction form
    45,413/68,119.88 = 15,830.78/x
  3. Step 3: Cross multiply
    45,413x = 68,119.88 × 15,830.78
  4. Step 4: Simplify right side
    45,413x = 1,078,390,833.91
  5. Step 5: Solve for x
    x = 1,078,390,833.91/45,413
  6. Step 6: Final answer
    x = 23,746.30

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1.5x scale

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.