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Finding the Fourth Proportional to 131,669.98, 197,458.29 and 47,407.54

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Solution

The fourth proportional to 131,669.98, 197,458.29 and 47,407.54 is: 71,094.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,669.98 : 197,458.29 = 47,407.54 : x
  2. Step 2: Convert to fraction form
    131,669.98/197,458.29 = 47,407.54/x
  3. Step 3: Cross multiply
    131,669.98x = 197,458.29 × 47,407.54
  4. Step 4: Simplify right side
    131,669.98x = 9,361,011,781.51
  5. Step 5: Solve for x
    x = 9,361,011,781.51/131,669.98
  6. Step 6: Final answer
    x = 71,094.50

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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.