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Finding the Fourth Proportional to 120,210.52, 165,834.66 and 77,782.72

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Solution

The fourth proportional to 120,210.52, 165,834.66 and 77,782.72 is: 107,304.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,210.52 : 165,834.66 = 77,782.72 : x
  2. Step 2: Convert to fraction form
    120,210.52/165,834.66 = 77,782.72/x
  3. Step 3: Cross multiply
    120,210.52x = 165,834.66 × 77,782.72
  4. Step 4: Simplify right side
    120,210.52x = 12,899,070,925.08
  5. Step 5: Solve for x
    x = 12,899,070,925.08/120,210.52
  6. Step 6: Final answer
    x = 107,304.01

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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.