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Finding the Fourth Proportional to 77,909.40, 116,790.12 and 25,282.08

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Solution

The fourth proportional to 77,909.40, 116,790.12 and 25,282.08 is: 37,899.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,909.40 : 116,790.12 = 25,282.08 : x
  2. Step 2: Convert to fraction form
    77,909.40/116,790.12 = 25,282.08/x
  3. Step 3: Cross multiply
    77,909.40x = 116,790.12 × 25,282.08
  4. Step 4: Simplify right side
    77,909.40x = 2,952,697,157.05
  5. Step 5: Solve for x
    x = 2,952,697,157.05/77,909.40
  6. Step 6: Final answer
    x = 37,899.11

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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.