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Finding the Fourth Proportional to 101,132.50, 139,562.91 and 56,420.50

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Solution

The fourth proportional to 101,132.50, 139,562.91 and 56,420.50 is: 77,860.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,132.50 : 139,562.91 = 56,420.50 : x
  2. Step 2: Convert to fraction form
    101,132.50/139,562.91 = 56,420.50/x
  3. Step 3: Cross multiply
    101,132.50x = 139,562.91 × 56,420.50
  4. Step 4: Simplify right side
    101,132.50x = 7,874,209,163.66
  5. Step 5: Solve for x
    x = 7,874,209,163.66/101,132.50
  6. Step 6: Final answer
    x = 77,860.32

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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.