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Finding the Fourth Proportional to 82,869.80, 114,354.95 and 48,870.50

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Solution

The fourth proportional to 82,869.80, 114,354.95 and 48,870.50 is: 67,438.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,869.80 : 114,354.95 = 48,870.50 : x
  2. Step 2: Convert to fraction form
    82,869.80/114,354.95 = 48,870.50/x
  3. Step 3: Cross multiply
    82,869.80x = 114,354.95 × 48,870.50
  4. Step 4: Simplify right side
    82,869.80x = 5,588,582,882.62
  5. Step 5: Solve for x
    x = 5,588,582,882.62/82,869.80
  6. Step 6: Final answer
    x = 67,438.11

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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.