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Finding the Fourth Proportional to 77,306.72, 106,898.02 and 61,363.50

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Solution

The fourth proportional to 77,306.72, 106,898.02 and 61,363.50 is: 84,852.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,306.72 : 106,898.02 = 61,363.50 : x
  2. Step 2: Convert to fraction form
    77,306.72/106,898.02 = 61,363.50/x
  3. Step 3: Cross multiply
    77,306.72x = 106,898.02 × 61,363.50
  4. Step 4: Simplify right side
    77,306.72x = 6,559,636,650.27
  5. Step 5: Solve for x
    x = 6,559,636,650.27/77,306.72
  6. Step 6: Final answer
    x = 84,852.09

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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.