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Finding the Fourth Proportional to 135,138.47, 186,509.64 and 77,776.64

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Solution

The fourth proportional to 135,138.47, 186,509.64 and 77,776.64 is: 107,342.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,138.47 : 186,509.64 = 77,776.64 : x
  2. Step 2: Convert to fraction form
    135,138.47/186,509.64 = 77,776.64/x
  3. Step 3: Cross multiply
    135,138.47x = 186,509.64 × 77,776.64
  4. Step 4: Simplify right side
    135,138.47x = 14,506,091,805.38
  5. Step 5: Solve for x
    x = 14,506,091,805.38/135,138.47
  6. Step 6: Final answer
    x = 107,342.43

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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.