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Finding the Fourth Proportional to 81,575.40, 122,407.68 and 31,657.48

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Solution

The fourth proportional to 81,575.40, 122,407.68 and 31,657.48 is: 47,503.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,575.40 : 122,407.68 = 31,657.48 : x
  2. Step 2: Convert to fraction form
    81,575.40/122,407.68 = 31,657.48/x
  3. Step 3: Cross multiply
    81,575.40x = 122,407.68 × 31,657.48
  4. Step 4: Simplify right side
    81,575.40x = 3,875,118,681.45
  5. Step 5: Solve for x
    x = 3,875,118,681.45/81,575.40
  6. Step 6: Final answer
    x = 47,503.52

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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.