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Finding the Fourth Proportional to 135,120.30, 186,477.48 and 78,528

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Solution

The fourth proportional to 135,120.30, 186,477.48 and 78,528 is: 108,375.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,120.30 : 186,477.48 = 78,528 : x
  2. Step 2: Convert to fraction form
    135,120.30/186,477.48 = 78,528/x
  3. Step 3: Cross multiply
    135,120.30x = 186,477.48 × 78,528
  4. Step 4: Simplify right side
    135,120.30x = 14,643,703,549.44
  5. Step 5: Solve for x
    x = 14,643,703,549.44/135,120.30
  6. Step 6: Final answer
    x = 108,375.30

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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.