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Finding the Fourth Proportional to 47,779.80, 71,702.10 and 31,099.20

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Solution

The fourth proportional to 47,779.80, 71,702.10 and 31,099.20 is: 46,669.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,779.80 : 71,702.10 = 31,099.20 : x
  2. Step 2: Convert to fraction form
    47,779.80/71,702.10 = 31,099.20/x
  3. Step 3: Cross multiply
    47,779.80x = 71,702.10 × 31,099.20
  4. Step 4: Simplify right side
    47,779.80x = 2,229,877,948.32
  5. Step 5: Solve for x
    x = 2,229,877,948.32/47,779.80
  6. Step 6: Final answer
    x = 46,669.89

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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.