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Finding the Fourth Proportional to 107,852.80, 161,779.20 and 61,196.80

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Solution

The fourth proportional to 107,852.80, 161,779.20 and 61,196.80 is: 91,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,852.80 : 161,779.20 = 61,196.80 : x
  2. Step 2: Convert to fraction form
    107,852.80/161,779.20 = 61,196.80/x
  3. Step 3: Cross multiply
    107,852.80x = 161,779.20 × 61,196.80
  4. Step 4: Simplify right side
    107,852.80x = 9,900,369,346.56
  5. Step 5: Solve for x
    x = 9,900,369,346.56/107,852.80
  6. Step 6: Final answer
    x = 91,795.20

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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.