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Finding the Fourth Proportional to 51,387.60, 77,070.60 and 21,806.40

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Solution

The fourth proportional to 51,387.60, 77,070.60 and 21,806.40 is: 32,705.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,387.60 : 77,070.60 = 21,806.40 : x
  2. Step 2: Convert to fraction form
    51,387.60/77,070.60 = 21,806.40/x
  3. Step 3: Cross multiply
    51,387.60x = 77,070.60 × 21,806.40
  4. Step 4: Simplify right side
    51,387.60x = 1,680,632,331.84
  5. Step 5: Solve for x
    x = 1,680,632,331.84/51,387.60
  6. Step 6: Final answer
    x = 32,705.02

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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.