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Finding the Fourth Proportional to 82,659, 114,369.66 and 72,070.68

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Solution

The fourth proportional to 82,659, 114,369.66 and 72,070.68 is: 99,719.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,659 : 114,369.66 = 72,070.68 : x
  2. Step 2: Convert to fraction form
    82,659/114,369.66 = 72,070.68/x
  3. Step 3: Cross multiply
    82,659x = 114,369.66 × 72,070.68
  4. Step 4: Simplify right side
    82,659x = 8,242,699,167.57
  5. Step 5: Solve for x
    x = 8,242,699,167.57/82,659
  6. Step 6: Final answer
    x = 99,719.32

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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.