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Finding the Fourth Proportional to 53,368, 80,053.12 and 16,432

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Solution

The fourth proportional to 53,368, 80,053.12 and 16,432 is: 24,648.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,368 : 80,053.12 = 16,432 : x
  2. Step 2: Convert to fraction form
    53,368/80,053.12 = 16,432/x
  3. Step 3: Cross multiply
    53,368x = 80,053.12 × 16,432
  4. Step 4: Simplify right side
    53,368x = 1,315,432,867.84
  5. Step 5: Solve for x
    x = 1,315,432,867.84/53,368
  6. Step 6: Final answer
    x = 24,648.34

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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.