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Finding the Fourth Proportional to 109,812.30, 164,718.45 and 75,986.70

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Solution

The fourth proportional to 109,812.30, 164,718.45 and 75,986.70 is: 113,980.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,812.30 : 164,718.45 = 75,986.70 : x
  2. Step 2: Convert to fraction form
    109,812.30/164,718.45 = 75,986.70/x
  3. Step 3: Cross multiply
    109,812.30x = 164,718.45 × 75,986.70
  4. Step 4: Simplify right side
    109,812.30x = 12,516,411,444.62
  5. Step 5: Solve for x
    x = 12,516,411,444.62/109,812.30
  6. Step 6: Final answer
    x = 113,980.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.