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Finding the Fourth Proportional to 125,548.16, 188,322.24 and 42,440

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Solution

The fourth proportional to 125,548.16, 188,322.24 and 42,440 is: 63,660.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,548.16 : 188,322.24 = 42,440 : x
  2. Step 2: Convert to fraction form
    125,548.16/188,322.24 = 42,440/x
  3. Step 3: Cross multiply
    125,548.16x = 188,322.24 × 42,440
  4. Step 4: Simplify right side
    125,548.16x = 7,992,395,865.60
  5. Step 5: Solve for x
    x = 7,992,395,865.60/125,548.16
  6. Step 6: Final answer
    x = 63,660.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.