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Finding the Fourth Proportional to 51,909.60, 77,755.05 and 51,909.60

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Solution

The fourth proportional to 51,909.60, 77,755.05 and 51,909.60 is: 77,755.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,909.60 : 77,755.05 = 51,909.60 : x
  2. Step 2: Convert to fraction form
    51,909.60/77,755.05 = 51,909.60/x
  3. Step 3: Cross multiply
    51,909.60x = 77,755.05 × 51,909.60
  4. Step 4: Simplify right side
    51,909.60x = 4,036,233,543.48
  5. Step 5: Solve for x
    x = 4,036,233,543.48/51,909.60
  6. Step 6: Final answer
    x = 77,755.05

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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.