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Finding the Fourth Proportional to 73,178.85, 109,701.72 and 26,420.79

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Solution

The fourth proportional to 73,178.85, 109,701.72 and 26,420.79 is: 39,607.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,178.85 : 109,701.72 = 26,420.79 : x
  2. Step 2: Convert to fraction form
    73,178.85/109,701.72 = 26,420.79/x
  3. Step 3: Cross multiply
    73,178.85x = 109,701.72 × 26,420.79
  4. Step 4: Simplify right side
    73,178.85x = 2,898,406,106.76
  5. Step 5: Solve for x
    x = 2,898,406,106.76/73,178.85
  6. Step 6: Final answer
    x = 39,607.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.