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Finding the Fourth Proportional to 78,172.61, 117,258.93 and 54,902.93

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Solution

The fourth proportional to 78,172.61, 117,258.93 and 54,902.93 is: 82,354.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,172.61 : 117,258.93 = 54,902.93 : x
  2. Step 2: Convert to fraction form
    78,172.61/117,258.93 = 54,902.93/x
  3. Step 3: Cross multiply
    78,172.61x = 117,258.93 × 54,902.93
  4. Step 4: Simplify right side
    78,172.61x = 6,437,858,239.37
  5. Step 5: Solve for x
    x = 6,437,858,239.37/78,172.61
  6. Step 6: Final answer
    x = 82,354.40

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1.5x scale

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.