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Finding the Fourth Proportional to 76,930.16, 106,159.52 and 43,394

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Solution

The fourth proportional to 76,930.16, 106,159.52 and 43,394 is: 59,881.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,930.16 : 106,159.52 = 43,394 : x
  2. Step 2: Convert to fraction form
    76,930.16/106,159.52 = 43,394/x
  3. Step 3: Cross multiply
    76,930.16x = 106,159.52 × 43,394
  4. Step 4: Simplify right side
    76,930.16x = 4,606,686,210.88
  5. Step 5: Solve for x
    x = 4,606,686,210.88/76,930.16
  6. Step 6: Final answer
    x = 59,881.41

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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.