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Finding the Fourth Proportional to 125,461.50, 188,221.41 and 42,355.50

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Solution

The fourth proportional to 125,461.50, 188,221.41 and 42,355.50 is: 63,543.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,461.50 : 188,221.41 = 42,355.50 : x
  2. Step 2: Convert to fraction form
    125,461.50/188,221.41 = 42,355.50/x
  3. Step 3: Cross multiply
    125,461.50x = 188,221.41 × 42,355.50
  4. Step 4: Simplify right side
    125,461.50x = 7,972,211,931.26
  5. Step 5: Solve for x
    x = 7,972,211,931.26/125,461.50
  6. Step 6: Final answer
    x = 63,543.09

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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.