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Finding the Fourth Proportional to 120,207.77, 165,830.87 and 77,779.97

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Solution

The fourth proportional to 120,207.77, 165,830.87 and 77,779.97 is: 107,300.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,207.77 : 165,830.87 = 77,779.97 : x
  2. Step 2: Convert to fraction form
    120,207.77/165,830.87 = 77,779.97/x
  3. Step 3: Cross multiply
    120,207.77x = 165,830.87 × 77,779.97
  4. Step 4: Simplify right side
    120,207.77x = 12,898,319,704.77
  5. Step 5: Solve for x
    x = 12,898,319,704.77/120,207.77
  6. Step 6: Final answer
    x = 107,300.22

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1.5x scale

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.