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Finding the Fourth Proportional to 107,071.80, 147,779.76 and 61,779

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Solution

The fourth proportional to 107,071.80, 147,779.76 and 61,779 is: 85,266.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,071.80 : 147,779.76 = 61,779 : x
  2. Step 2: Convert to fraction form
    107,071.80/147,779.76 = 61,779/x
  3. Step 3: Cross multiply
    107,071.80x = 147,779.76 × 61,779
  4. Step 4: Simplify right side
    107,071.80x = 9,129,685,793.04
  5. Step 5: Solve for x
    x = 9,129,685,793.04/107,071.80
  6. Step 6: Final answer
    x = 85,266.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.