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Finding the Fourth Proportional to 78,406.40, 117,436.80 and 54,905.60

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Solution

The fourth proportional to 78,406.40, 117,436.80 and 54,905.60 is: 82,237.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,406.40 : 117,436.80 = 54,905.60 : x
  2. Step 2: Convert to fraction form
    78,406.40/117,436.80 = 54,905.60/x
  3. Step 3: Cross multiply
    78,406.40x = 117,436.80 × 54,905.60
  4. Step 4: Simplify right side
    78,406.40x = 6,447,937,966.08
  5. Step 5: Solve for x
    x = 6,447,937,966.08/78,406.40
  6. Step 6: Final answer
    x = 82,237.39

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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.