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Finding the Fourth Proportional to 77,201.64, 106,505.70 and 52,007.40

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Solution

The fourth proportional to 77,201.64, 106,505.70 and 52,007.40 is: 71,748.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,201.64 : 106,505.70 = 52,007.40 : x
  2. Step 2: Convert to fraction form
    77,201.64/106,505.70 = 52,007.40/x
  3. Step 3: Cross multiply
    77,201.64x = 106,505.70 × 52,007.40
  4. Step 4: Simplify right side
    77,201.64x = 5,539,084,542.18
  5. Step 5: Solve for x
    x = 5,539,084,542.18/77,201.64
  6. Step 6: Final answer
    x = 71,748.28

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1.5x scale

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.