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Finding the Fourth Proportional to 70,946.78, 97,923.62 and 42,647

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Solution

The fourth proportional to 70,946.78, 97,923.62 and 42,647 is: 58,863.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,946.78 : 97,923.62 = 42,647 : x
  2. Step 2: Convert to fraction form
    70,946.78/97,923.62 = 42,647/x
  3. Step 3: Cross multiply
    70,946.78x = 97,923.62 × 42,647
  4. Step 4: Simplify right side
    70,946.78x = 4,176,148,408.91
  5. Step 5: Solve for x
    x = 4,176,148,408.91/70,946.78
  6. Step 6: Final answer
    x = 58,863.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.