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Finding the Fourth Proportional to 78,088.74, 117,119.93 and 21,915.96

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Solution

The fourth proportional to 78,088.74, 117,119.93 and 21,915.96 is: 32,870.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,088.74 : 117,119.93 = 21,915.96 : x
  2. Step 2: Convert to fraction form
    78,088.74/117,119.93 = 21,915.96/x
  3. Step 3: Cross multiply
    78,088.74x = 117,119.93 × 21,915.96
  4. Step 4: Simplify right side
    78,088.74x = 2,566,795,591.50
  5. Step 5: Solve for x
    x = 2,566,795,591.50/78,088.74
  6. Step 6: Final answer
    x = 32,870.24

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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.