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Finding the Fourth Proportional to 30,475.20, 45,712.80 and 25,663.80

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Solution

The fourth proportional to 30,475.20, 45,712.80 and 25,663.80 is: 38,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,475.20 : 45,712.80 = 25,663.80 : x
  2. Step 2: Convert to fraction form
    30,475.20/45,712.80 = 25,663.80/x
  3. Step 3: Cross multiply
    30,475.20x = 45,712.80 × 25,663.80
  4. Step 4: Simplify right side
    30,475.20x = 1,173,164,156.64
  5. Step 5: Solve for x
    x = 1,173,164,156.64/30,475.20
  6. Step 6: Final answer
    x = 38,495.70

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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.