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Finding the Fourth Proportional to 101,754.48, 140,429.59 and 56,447.07

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Solution

The fourth proportional to 101,754.48, 140,429.59 and 56,447.07 is: 77,901.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,754.48 : 140,429.59 = 56,447.07 : x
  2. Step 2: Convert to fraction form
    101,754.48/140,429.59 = 56,447.07/x
  3. Step 3: Cross multiply
    101,754.48x = 140,429.59 × 56,447.07
  4. Step 4: Simplify right side
    101,754.48x = 7,926,838,967.36
  5. Step 5: Solve for x
    x = 7,926,838,967.36/101,754.48
  6. Step 6: Final answer
    x = 77,901.62

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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.