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Finding the Fourth Proportional to 125,564.60, 188,346.90 and 42,458.60

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Solution

The fourth proportional to 125,564.60, 188,346.90 and 42,458.60 is: 63,687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,564.60 : 188,346.90 = 42,458.60 : x
  2. Step 2: Convert to fraction form
    125,564.60/188,346.90 = 42,458.60/x
  3. Step 3: Cross multiply
    125,564.60x = 188,346.90 × 42,458.60
  4. Step 4: Simplify right side
    125,564.60x = 7,996,945,688.34
  5. Step 5: Solve for x
    x = 7,996,945,688.34/125,564.60
  6. Step 6: Final answer
    x = 63,687.90

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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.