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Finding the Fourth Proportional to 135,798.30, 187,271.46 and 81,341.76

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Solution

The fourth proportional to 135,798.30, 187,271.46 and 81,341.76 is: 112,173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,798.30 : 187,271.46 = 81,341.76 : x
  2. Step 2: Convert to fraction form
    135,798.30/187,271.46 = 81,341.76/x
  3. Step 3: Cross multiply
    135,798.30x = 187,271.46 × 81,341.76
  4. Step 4: Simplify right side
    135,798.30x = 15,232,990,154.17
  5. Step 5: Solve for x
    x = 15,232,990,154.17/135,798.30
  6. Step 6: Final answer
    x = 112,173.64

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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.