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Finding the Fourth Proportional to 142,005.30, 212,827.05 and 75,477.30

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Solution

The fourth proportional to 142,005.30, 212,827.05 and 75,477.30 is: 113,119.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,005.30 : 212,827.05 = 75,477.30 : x
  2. Step 2: Convert to fraction form
    142,005.30/212,827.05 = 75,477.30/x
  3. Step 3: Cross multiply
    142,005.30x = 212,827.05 × 75,477.30
  4. Step 4: Simplify right side
    142,005.30x = 16,063,611,100.97
  5. Step 5: Solve for x
    x = 16,063,611,100.97/142,005.30
  6. Step 6: Final answer
    x = 113,119.80

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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.