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Finding the Fourth Proportional to 101,643.65, 140,261.89 and 56,318.98

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Solution

The fourth proportional to 101,643.65, 140,261.89 and 56,318.98 is: 77,716.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,643.65 : 140,261.89 = 56,318.98 : x
  2. Step 2: Convert to fraction form
    101,643.65/140,261.89 = 56,318.98/x
  3. Step 3: Cross multiply
    101,643.65x = 140,261.89 × 56,318.98
  4. Step 4: Simplify right side
    101,643.65x = 7,899,406,577.67
  5. Step 5: Solve for x
    x = 7,899,406,577.67/101,643.65
  6. Step 6: Final answer
    x = 77,716.68

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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.