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Finding the Fourth Proportional to 71,000.64, 106,411.86 and 37,638.36

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Solution

The fourth proportional to 71,000.64, 106,411.86 and 37,638.36 is: 56,410.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,000.64 : 106,411.86 = 37,638.36 : x
  2. Step 2: Convert to fraction form
    71,000.64/106,411.86 = 37,638.36/x
  3. Step 3: Cross multiply
    71,000.64x = 106,411.86 × 37,638.36
  4. Step 4: Simplify right side
    71,000.64x = 4,005,167,894.95
  5. Step 5: Solve for x
    x = 4,005,167,894.95/71,000.64
  6. Step 6: Final answer
    x = 56,410.31

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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.