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Finding the Fourth Proportional to 125,829, 188,772.66 and 42,723

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Solution

The fourth proportional to 125,829, 188,772.66 and 42,723 is: 64,094.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,829 : 188,772.66 = 42,723 : x
  2. Step 2: Convert to fraction form
    125,829/188,772.66 = 42,723/x
  3. Step 3: Cross multiply
    125,829x = 188,772.66 × 42,723
  4. Step 4: Simplify right side
    125,829x = 8,064,934,353.18
  5. Step 5: Solve for x
    x = 8,064,934,353.18/125,829
  6. Step 6: Final answer
    x = 64,094.40

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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.