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Finding the Fourth Proportional to 70,768.32, 97,578.47 and 56,416.94

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Solution

The fourth proportional to 70,768.32, 97,578.47 and 56,416.94 is: 77,790.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,768.32 : 97,578.47 = 56,416.94 : x
  2. Step 2: Convert to fraction form
    70,768.32/97,578.47 = 56,416.94/x
  3. Step 3: Cross multiply
    70,768.32x = 97,578.47 × 56,416.94
  4. Step 4: Simplify right side
    70,768.32x = 5,505,077,917.30
  5. Step 5: Solve for x
    x = 5,505,077,917.30/70,768.32
  6. Step 6: Final answer
    x = 77,790.15

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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.