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Finding the Fourth Proportional to 112,978.21, 155,904.71 and 61,989.67

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Solution

The fourth proportional to 112,978.21, 155,904.71 and 61,989.67 is: 85,542.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,978.21 : 155,904.71 = 61,989.67 : x
  2. Step 2: Convert to fraction form
    112,978.21/155,904.71 = 61,989.67/x
  3. Step 3: Cross multiply
    112,978.21x = 155,904.71 × 61,989.67
  4. Step 4: Simplify right side
    112,978.21x = 9,664,480,434.87
  5. Step 5: Solve for x
    x = 9,664,480,434.87/112,978.21
  6. Step 6: Final answer
    x = 85,542.87

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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.