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Finding the Fourth Proportional to 77,707.84, 116,573.28 and 28,456

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Solution

The fourth proportional to 77,707.84, 116,573.28 and 28,456 is: 42,688.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,707.84 : 116,573.28 = 28,456 : x
  2. Step 2: Convert to fraction form
    77,707.84/116,573.28 = 28,456/x
  3. Step 3: Cross multiply
    77,707.84x = 116,573.28 × 28,456
  4. Step 4: Simplify right side
    77,707.84x = 3,317,209,255.68
  5. Step 5: Solve for x
    x = 3,317,209,255.68/77,707.84
  6. Step 6: Final answer
    x = 42,688.22

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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.