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Finding the Fourth Proportional to 172,438.50, 258,657.78 and 47,779.50

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Solution

The fourth proportional to 172,438.50, 258,657.78 and 47,779.50 is: 71,669.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,438.50 : 258,657.78 = 47,779.50 : x
  2. Step 2: Convert to fraction form
    172,438.50/258,657.78 = 47,779.50/x
  3. Step 3: Cross multiply
    172,438.50x = 258,657.78 × 47,779.50
  4. Step 4: Simplify right side
    172,438.50x = 12,358,539,399.51
  5. Step 5: Solve for x
    x = 12,358,539,399.51/172,438.50
  6. Step 6: Final answer
    x = 71,669.26

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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.