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Finding the Fourth Proportional to 77,328.34, 106,708.06 and 45,491.09

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Solution

The fourth proportional to 77,328.34, 106,708.06 and 45,491.09 is: 62,774.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,328.34 : 106,708.06 = 45,491.09 : x
  2. Step 2: Convert to fraction form
    77,328.34/106,708.06 = 45,491.09/x
  3. Step 3: Cross multiply
    77,328.34x = 106,708.06 × 45,491.09
  4. Step 4: Simplify right side
    77,328.34x = 4,854,265,961.19
  5. Step 5: Solve for x
    x = 4,854,265,961.19/77,328.34
  6. Step 6: Final answer
    x = 62,774.73

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1.5x scale

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.