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Finding the Fourth Proportional to 77,970.73, 107,599.64 and 42,160.73

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Solution

The fourth proportional to 77,970.73, 107,599.64 and 42,160.73 is: 58,181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,970.73 : 107,599.64 = 42,160.73 : x
  2. Step 2: Convert to fraction form
    77,970.73/107,599.64 = 42,160.73/x
  3. Step 3: Cross multiply
    77,970.73x = 107,599.64 × 42,160.73
  4. Step 4: Simplify right side
    77,970.73x = 4,536,479,161.11
  5. Step 5: Solve for x
    x = 4,536,479,161.11/77,970.73
  6. Step 6: Final answer
    x = 58,181.82

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1.5x scale

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.