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Finding the Fourth Proportional to 84,572, 126,657.12 and 54,897.92

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Solution

The fourth proportional to 84,572, 126,657.12 and 54,897.92 is: 82,216.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,572 : 126,657.12 = 54,897.92 : x
  2. Step 2: Convert to fraction form
    84,572/126,657.12 = 54,897.92/x
  3. Step 3: Cross multiply
    84,572x = 126,657.12 × 54,897.92
  4. Step 4: Simplify right side
    84,572x = 6,953,212,441.19
  5. Step 5: Solve for x
    x = 6,953,212,441.19/84,572
  6. Step 6: Final answer
    x = 82,216.48

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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.