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Finding the Fourth Proportional to 82,784.80, 124,203.12 and 53,236

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Solution

The fourth proportional to 82,784.80, 124,203.12 and 53,236 is: 79,870.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,784.80 : 124,203.12 = 53,236 : x
  2. Step 2: Convert to fraction form
    82,784.80/124,203.12 = 53,236/x
  3. Step 3: Cross multiply
    82,784.80x = 124,203.12 × 53,236
  4. Step 4: Simplify right side
    82,784.80x = 6,612,077,296.32
  5. Step 5: Solve for x
    x = 6,612,077,296.32/82,784.80
  6. Step 6: Final answer
    x = 79,870.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.