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Finding the Fourth Proportional to 125,190, 187,785.24 and 30,420.27

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Solution

The fourth proportional to 125,190, 187,785.24 and 30,420.27 is: 45,630.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,190 : 187,785.24 = 30,420.27 : x
  2. Step 2: Convert to fraction form
    125,190/187,785.24 = 30,420.27/x
  3. Step 3: Cross multiply
    125,190x = 187,785.24 × 30,420.27
  4. Step 4: Simplify right side
    125,190x = 5,712,477,702.81
  5. Step 5: Solve for x
    x = 5,712,477,702.81/125,190
  6. Step 6: Final answer
    x = 45,630.46

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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.