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Finding the Fourth Proportional to 77,878.16, 107,480.32 and 47,683.84

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Solution

The fourth proportional to 77,878.16, 107,480.32 and 47,683.84 is: 65,808.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,878.16 : 107,480.32 = 47,683.84 : x
  2. Step 2: Convert to fraction form
    77,878.16/107,480.32 = 47,683.84/x
  3. Step 3: Cross multiply
    77,878.16x = 107,480.32 × 47,683.84
  4. Step 4: Simplify right side
    77,878.16x = 5,125,074,382.03
  5. Step 5: Solve for x
    x = 5,125,074,382.03/77,878.16
  6. Step 6: Final answer
    x = 65,808.88

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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.