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Finding the Fourth Proportional to 48,384, 72,567.09 and 13,319.10

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Solution

The fourth proportional to 48,384, 72,567.09 and 13,319.10 is: 19,976.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,384 : 72,567.09 = 13,319.10 : x
  2. Step 2: Convert to fraction form
    48,384/72,567.09 = 13,319.10/x
  3. Step 3: Cross multiply
    48,384x = 72,567.09 × 13,319.10
  4. Step 4: Simplify right side
    48,384x = 966,528,328.42
  5. Step 5: Solve for x
    x = 966,528,328.42/48,384
  6. Step 6: Final answer
    x = 19,976.20

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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.