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Finding the Fourth Proportional to 101,421.72, 139,961.52 and 56,709.72

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Solution

The fourth proportional to 101,421.72, 139,961.52 and 56,709.72 is: 78,259.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,421.72 : 139,961.52 = 56,709.72 : x
  2. Step 2: Convert to fraction form
    101,421.72/139,961.52 = 56,709.72/x
  3. Step 3: Cross multiply
    101,421.72x = 139,961.52 × 56,709.72
  4. Step 4: Simplify right side
    101,421.72x = 7,937,178,609.97
  5. Step 5: Solve for x
    x = 7,937,178,609.97/101,421.72
  6. Step 6: Final answer
    x = 78,259.16

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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.