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Finding the Fourth Proportional to 56,186, 77,529.84 and 31,035.68

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Solution

The fourth proportional to 56,186, 77,529.84 and 31,035.68 is: 42,825.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,186 : 77,529.84 = 31,035.68 : x
  2. Step 2: Convert to fraction form
    56,186/77,529.84 = 31,035.68/x
  3. Step 3: Cross multiply
    56,186x = 77,529.84 × 31,035.68
  4. Step 4: Simplify right side
    56,186x = 2,406,191,304.69
  5. Step 5: Solve for x
    x = 2,406,191,304.69/56,186
  6. Step 6: Final answer
    x = 42,825.46

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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.