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Finding the Fourth Proportional to 125,189.84, 187,783 and 30,420.72

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Solution

The fourth proportional to 125,189.84, 187,783 and 30,420.72 is: 45,630.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,189.84 : 187,783 = 30,420.72 : x
  2. Step 2: Convert to fraction form
    125,189.84/187,783 = 30,420.72/x
  3. Step 3: Cross multiply
    125,189.84x = 187,783 × 30,420.72
  4. Step 4: Simplify right side
    125,189.84x = 5,712,494,063.76
  5. Step 5: Solve for x
    x = 5,712,494,063.76/125,189.84
  6. Step 6: Final answer
    x = 45,630.65

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1.5x scale

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.