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Finding the Fourth Proportional to 61,745.76, 92,655 and 42,785.28

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Solution

The fourth proportional to 61,745.76, 92,655 and 42,785.28 is: 64,203.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,745.76 : 92,655 = 42,785.28 : x
  2. Step 2: Convert to fraction form
    61,745.76/92,655 = 42,785.28/x
  3. Step 3: Cross multiply
    61,745.76x = 92,655 × 42,785.28
  4. Step 4: Simplify right side
    61,745.76x = 3,964,270,118.40
  5. Step 5: Solve for x
    x = 3,964,270,118.40/61,745.76
  6. Step 6: Final answer
    x = 64,203.11

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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.