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Finding the Fourth Proportional to 77,970.46, 107,599.29 and 42,160.49

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Solution

The fourth proportional to 77,970.46, 107,599.29 and 42,160.49 is: 58,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,970.46 : 107,599.29 = 42,160.49 : x
  2. Step 2: Convert to fraction form
    77,970.46/107,599.29 = 42,160.49/x
  3. Step 3: Cross multiply
    77,970.46x = 107,599.29 × 42,160.49
  4. Step 4: Simplify right side
    77,970.46x = 4,536,438,790.05
  5. Step 5: Solve for x
    x = 4,536,438,790.05/77,970.46
  6. Step 6: Final answer
    x = 58,181.51

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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.