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Finding the Fourth Proportional to 46,672, 70,019.52 and 13,840

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Solution

The fourth proportional to 46,672, 70,019.52 and 13,840 is: 20,763.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,672 : 70,019.52 = 13,840 : x
  2. Step 2: Convert to fraction form
    46,672/70,019.52 = 13,840/x
  3. Step 3: Cross multiply
    46,672x = 70,019.52 × 13,840
  4. Step 4: Simplify right side
    46,672x = 969,070,156.80
  5. Step 5: Solve for x
    x = 969,070,156.80/46,672
  6. Step 6: Final answer
    x = 20,763.42

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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.