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Finding the Fourth Proportional to 101,860.68, 140,567.24 and 56,539.20

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Solution

The fourth proportional to 101,860.68, 140,567.24 and 56,539.20 is: 78,023.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,860.68 : 140,567.24 = 56,539.20 : x
  2. Step 2: Convert to fraction form
    101,860.68/140,567.24 = 56,539.20/x
  3. Step 3: Cross multiply
    101,860.68x = 140,567.24 × 56,539.20
  4. Step 4: Simplify right side
    101,860.68x = 7,947,559,295.81
  5. Step 5: Solve for x
    x = 7,947,559,295.81/101,860.68
  6. Step 6: Final answer
    x = 78,023.82

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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.