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Finding the Fourth Proportional to 125,643.60, 188,465.40 and 42,536.40

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Solution

The fourth proportional to 125,643.60, 188,465.40 and 42,536.40 is: 63,804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,643.60 : 188,465.40 = 42,536.40 : x
  2. Step 2: Convert to fraction form
    125,643.60/188,465.40 = 42,536.40/x
  3. Step 3: Cross multiply
    125,643.60x = 188,465.40 × 42,536.40
  4. Step 4: Simplify right side
    125,643.60x = 8,016,639,640.56
  5. Step 5: Solve for x
    x = 8,016,639,640.56/125,643.60
  6. Step 6: Final answer
    x = 63,804.60

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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.