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Finding the Fourth Proportional to 172,342.86, 258,513.93 and 47,683.50

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Solution

The fourth proportional to 172,342.86, 258,513.93 and 47,683.50 is: 71,525.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,342.86 : 258,513.93 = 47,683.50 : x
  2. Step 2: Convert to fraction form
    172,342.86/258,513.93 = 47,683.50/x
  3. Step 3: Cross multiply
    172,342.86x = 258,513.93 × 47,683.50
  4. Step 4: Simplify right side
    172,342.86x = 12,326,848,981.16
  5. Step 5: Solve for x
    x = 12,326,848,981.16/172,342.86
  6. Step 6: Final answer
    x = 71,525.15

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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.