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Finding the Fourth Proportional to 101,354.64, 139,869.57 and 56,642.64

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Solution

The fourth proportional to 101,354.64, 139,869.57 and 56,642.64 is: 78,166.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,354.64 : 139,869.57 = 56,642.64 : x
  2. Step 2: Convert to fraction form
    101,354.64/139,869.57 = 56,642.64/x
  3. Step 3: Cross multiply
    101,354.64x = 139,869.57 × 56,642.64
  4. Step 4: Simplify right side
    101,354.64x = 7,922,581,700.46
  5. Step 5: Solve for x
    x = 7,922,581,700.46/101,354.64
  6. Step 6: Final answer
    x = 78,166.94

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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.