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Finding the Fourth Proportional to 117,597.81, 162,352.26 and 77,428.24

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Solution

The fourth proportional to 117,597.81, 162,352.26 and 77,428.24 is: 106,895.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,597.81 : 162,352.26 = 77,428.24 : x
  2. Step 2: Convert to fraction form
    117,597.81/162,352.26 = 77,428.24/x
  3. Step 3: Cross multiply
    117,597.81x = 162,352.26 × 77,428.24
  4. Step 4: Simplify right side
    117,597.81x = 12,570,649,751.82
  5. Step 5: Solve for x
    x = 12,570,649,751.82/117,597.81
  6. Step 6: Final answer
    x = 106,895.27

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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.