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Finding the Fourth Proportional to 106,521.32, 146,973.20 and 65,117.90

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Solution

The fourth proportional to 106,521.32, 146,973.20 and 65,117.90 is: 89,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,521.32 : 146,973.20 = 65,117.90 : x
  2. Step 2: Convert to fraction form
    106,521.32/146,973.20 = 65,117.90/x
  3. Step 3: Cross multiply
    106,521.32x = 146,973.20 × 65,117.90
  4. Step 4: Simplify right side
    106,521.32x = 9,570,586,140.28
  5. Step 5: Solve for x
    x = 9,570,586,140.28/106,521.32
  6. Step 6: Final answer
    x = 89,846.67

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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.