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Finding the Fourth Proportional to 98,142.40, 135,437.16 and 55,701.64

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Solution

The fourth proportional to 98,142.40, 135,437.16 and 55,701.64 is: 76,868.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,142.40 : 135,437.16 = 55,701.64 : x
  2. Step 2: Convert to fraction form
    98,142.40/135,437.16 = 55,701.64/x
  3. Step 3: Cross multiply
    98,142.40x = 135,437.16 × 55,701.64
  4. Step 4: Simplify right side
    98,142.40x = 7,544,071,928.94
  5. Step 5: Solve for x
    x = 7,544,071,928.94/98,142.40
  6. Step 6: Final answer
    x = 76,868.63

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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.