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Finding the Fourth Proportional to 77,328.68, 106,765 and 59,391.64

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Solution

The fourth proportional to 77,328.68, 106,765 and 59,391.64 is: 81,999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,328.68 : 106,765 = 59,391.64 : x
  2. Step 2: Convert to fraction form
    77,328.68/106,765 = 59,391.64/x
  3. Step 3: Cross multiply
    77,328.68x = 106,765 × 59,391.64
  4. Step 4: Simplify right side
    77,328.68x = 6,340,948,444.60
  5. Step 5: Solve for x
    x = 6,340,948,444.60/77,328.68
  6. Step 6: Final answer
    x = 81,999.96

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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.