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Finding the Fourth Proportional to 77,204.64, 106,509.84 and 52,010.40

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Solution

The fourth proportional to 77,204.64, 106,509.84 and 52,010.40 is: 71,752.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,204.64 : 106,509.84 = 52,010.40 : x
  2. Step 2: Convert to fraction form
    77,204.64/106,509.84 = 52,010.40/x
  3. Step 3: Cross multiply
    77,204.64x = 106,509.84 × 52,010.40
  4. Step 4: Simplify right side
    77,204.64x = 5,539,619,382.34
  5. Step 5: Solve for x
    x = 5,539,619,382.34/77,204.64
  6. Step 6: Final answer
    x = 71,752.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.