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Finding the Fourth Proportional to 30,218, 45,294.60 and 14,601.20

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Solution

The fourth proportional to 30,218, 45,294.60 and 14,601.20 is: 21,886.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,218 : 45,294.60 = 14,601.20 : x
  2. Step 2: Convert to fraction form
    30,218/45,294.60 = 14,601.20/x
  3. Step 3: Cross multiply
    30,218x = 45,294.60 × 14,601.20
  4. Step 4: Simplify right side
    30,218x = 661,355,513.52
  5. Step 5: Solve for x
    x = 661,355,513.52/30,218
  6. Step 6: Final answer
    x = 21,886.14

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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.