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Finding the Fourth Proportional to 77,784, 116,693.28 and 28,536

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Solution

The fourth proportional to 77,784, 116,693.28 and 28,536 is: 42,810.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,784 : 116,693.28 = 28,536 : x
  2. Step 2: Convert to fraction form
    77,784/116,693.28 = 28,536/x
  3. Step 3: Cross multiply
    77,784x = 116,693.28 × 28,536
  4. Step 4: Simplify right side
    77,784x = 3,329,959,438.08
  5. Step 5: Solve for x
    x = 3,329,959,438.08/77,784
  6. Step 6: Final answer
    x = 42,810.34

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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.