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Finding the Fourth Proportional to 81,013.64, 120,598.81 and 77,196.68

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Solution

The fourth proportional to 81,013.64, 120,598.81 and 77,196.68 is: 114,916.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,013.64 : 120,598.81 = 77,196.68 : x
  2. Step 2: Convert to fraction form
    81,013.64/120,598.81 = 77,196.68/x
  3. Step 3: Cross multiply
    81,013.64x = 120,598.81 × 77,196.68
  4. Step 4: Simplify right side
    81,013.64x = 9,309,827,743.95
  5. Step 5: Solve for x
    x = 9,309,827,743.95/81,013.64
  6. Step 6: Final answer
    x = 114,916.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.