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Finding the Fourth Proportional to 74,567.77, 102,907.95 and 42,738.72

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Solution

The fourth proportional to 74,567.77, 102,907.95 and 42,738.72 is: 58,981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,567.77 : 102,907.95 = 42,738.72 : x
  2. Step 2: Convert to fraction form
    74,567.77/102,907.95 = 42,738.72/x
  3. Step 3: Cross multiply
    74,567.77x = 102,907.95 × 42,738.72
  4. Step 4: Simplify right side
    74,567.77x = 4,398,153,847.13
  5. Step 5: Solve for x
    x = 4,398,153,847.13/74,567.77
  6. Step 6: Final answer
    x = 58,981.97

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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.