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Finding the Fourth Proportional to 70,711, 97,582.78 and 38,881.64

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Solution

The fourth proportional to 70,711, 97,582.78 and 38,881.64 is: 53,657.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,711 : 97,582.78 = 38,881.64 : x
  2. Step 2: Convert to fraction form
    70,711/97,582.78 = 38,881.64/x
  3. Step 3: Cross multiply
    70,711x = 97,582.78 × 38,881.64
  4. Step 4: Simplify right side
    70,711x = 3,794,178,522.16
  5. Step 5: Solve for x
    x = 3,794,178,522.16/70,711
  6. Step 6: Final answer
    x = 53,657.54

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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.