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Finding the Fourth Proportional to 76,203.64, 105,068.10 and 55,999

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Solution

The fourth proportional to 76,203.64, 105,068.10 and 55,999 is: 77,210.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,203.64 : 105,068.10 = 55,999 : x
  2. Step 2: Convert to fraction form
    76,203.64/105,068.10 = 55,999/x
  3. Step 3: Cross multiply
    76,203.64x = 105,068.10 × 55,999
  4. Step 4: Simplify right side
    76,203.64x = 5,883,708,531.90
  5. Step 5: Solve for x
    x = 5,883,708,531.90/76,203.64
  6. Step 6: Final answer
    x = 77,210.33

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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.