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Finding the Fourth Proportional to 134,142.51, 200,950.80 and 77,864.64

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Solution

The fourth proportional to 134,142.51, 200,950.80 and 77,864.64 is: 116,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,142.51 : 200,950.80 = 77,864.64 : x
  2. Step 2: Convert to fraction form
    134,142.51/200,950.80 = 77,864.64/x
  3. Step 3: Cross multiply
    134,142.51x = 200,950.80 × 77,864.64
  4. Step 4: Simplify right side
    134,142.51x = 15,646,961,699.71
  5. Step 5: Solve for x
    x = 15,646,961,699.71/134,142.51
  6. Step 6: Final answer
    x = 116,644.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.