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Finding the Fourth Proportional to 107,358.46, 148,294.11 and 81,709

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Solution

The fourth proportional to 107,358.46, 148,294.11 and 81,709 is: 112,864.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,358.46 : 148,294.11 = 81,709 : x
  2. Step 2: Convert to fraction form
    107,358.46/148,294.11 = 81,709/x
  3. Step 3: Cross multiply
    107,358.46x = 148,294.11 × 81,709
  4. Step 4: Simplify right side
    107,358.46x = 12,116,963,433.99
  5. Step 5: Solve for x
    x = 12,116,963,433.99/107,358.46
  6. Step 6: Final answer
    x = 112,864.54

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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.