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Finding the Fourth Proportional to 88,378, 121,961.64 and 48,634

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Solution

The fourth proportional to 88,378, 121,961.64 and 48,634 is: 67,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,378 : 121,961.64 = 48,634 : x
  2. Step 2: Convert to fraction form
    88,378/121,961.64 = 48,634/x
  3. Step 3: Cross multiply
    88,378x = 121,961.64 × 48,634
  4. Step 4: Simplify right side
    88,378x = 5,931,482,399.76
  5. Step 5: Solve for x
    x = 5,931,482,399.76/88,378
  6. Step 6: Final answer
    x = 67,114.92

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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.