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Finding the Fourth Proportional to 100,957.64, 139,322.47 and 55,637.24

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Solution

The fourth proportional to 100,957.64, 139,322.47 and 55,637.24 is: 76,779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,957.64 : 139,322.47 = 55,637.24 : x
  2. Step 2: Convert to fraction form
    100,957.64/139,322.47 = 55,637.24/x
  3. Step 3: Cross multiply
    100,957.64x = 139,322.47 × 55,637.24
  4. Step 4: Simplify right side
    100,957.64x = 7,751,517,700.78
  5. Step 5: Solve for x
    x = 7,751,517,700.78/100,957.64
  6. Step 6: Final answer
    x = 76,779.90

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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.