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Finding the Fourth Proportional to 100,496, 138,686.10 and 55,784

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Solution

The fourth proportional to 100,496, 138,686.10 and 55,784 is: 76,982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,496 : 138,686.10 = 55,784 : x
  2. Step 2: Convert to fraction form
    100,496/138,686.10 = 55,784/x
  3. Step 3: Cross multiply
    100,496x = 138,686.10 × 55,784
  4. Step 4: Simplify right side
    100,496x = 7,736,465,402.40
  5. Step 5: Solve for x
    x = 7,736,465,402.40/100,496
  6. Step 6: Final answer
    x = 76,982.82

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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.