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Finding the Fourth Proportional to 30,216, 45,291.60 and 14,599.20

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Solution

The fourth proportional to 30,216, 45,291.60 and 14,599.20 is: 21,883.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,216 : 45,291.60 = 14,599.20 : x
  2. Step 2: Convert to fraction form
    30,216/45,291.60 = 14,599.20/x
  3. Step 3: Cross multiply
    30,216x = 45,291.60 × 14,599.20
  4. Step 4: Simplify right side
    30,216x = 661,221,126.72
  5. Step 5: Solve for x
    x = 661,221,126.72/30,216
  6. Step 6: Final answer
    x = 21,883.15

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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.