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Finding the Fourth Proportional to 78,484.16, 117,713.61 and 21,544.78

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Solution

The fourth proportional to 78,484.16, 117,713.61 and 21,544.78 is: 32,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,484.16 : 117,713.61 = 21,544.78 : x
  2. Step 2: Convert to fraction form
    78,484.16/117,713.61 = 21,544.78/x
  3. Step 3: Cross multiply
    78,484.16x = 117,713.61 × 21,544.78
  4. Step 4: Simplify right side
    78,484.16x = 2,536,113,830.46
  5. Step 5: Solve for x
    x = 2,536,113,830.46/78,484.16
  6. Step 6: Final answer
    x = 32,313.70

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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.