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Finding the Fourth Proportional to 135,549, 187,064.28 and 81,833.04

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Solution

The fourth proportional to 135,549, 187,064.28 and 81,833.04 is: 112,933.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,549 : 187,064.28 = 81,833.04 : x
  2. Step 2: Convert to fraction form
    135,549/187,064.28 = 81,833.04/x
  3. Step 3: Cross multiply
    135,549x = 187,064.28 × 81,833.04
  4. Step 4: Simplify right side
    135,549x = 15,308,038,707.81
  5. Step 5: Solve for x
    x = 15,308,038,707.81/135,549
  6. Step 6: Final answer
    x = 112,933.62

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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.