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Finding the Fourth Proportional to 127,425.28, 175,840 and 70,832.64

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Solution

The fourth proportional to 127,425.28, 175,840 and 70,832.64 is: 97,745.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,425.28 : 175,840 = 70,832.64 : x
  2. Step 2: Convert to fraction form
    127,425.28/175,840 = 70,832.64/x
  3. Step 3: Cross multiply
    127,425.28x = 175,840 × 70,832.64
  4. Step 4: Simplify right side
    127,425.28x = 12,455,211,417.60
  5. Step 5: Solve for x
    x = 12,455,211,417.60/127,425.28
  6. Step 6: Final answer
    x = 97,745.22

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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.