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Finding the Fourth Proportional to 73,071.77, 100,840.29 and 42,857.91

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Solution

The fourth proportional to 73,071.77, 100,840.29 and 42,857.91 is: 59,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,071.77 : 100,840.29 = 42,857.91 : x
  2. Step 2: Convert to fraction form
    73,071.77/100,840.29 = 42,857.91/x
  3. Step 3: Cross multiply
    73,071.77x = 100,840.29 × 42,857.91
  4. Step 4: Simplify right side
    73,071.77x = 4,321,804,153.55
  5. Step 5: Solve for x
    x = 4,321,804,153.55/73,071.77
  6. Step 6: Final answer
    x = 59,144.65

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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.