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Finding the Fourth Proportional to 106,585.40, 159,935.70 and 47,430.20

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Solution

The fourth proportional to 106,585.40, 159,935.70 and 47,430.20 is: 71,170.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,585.40 : 159,935.70 = 47,430.20 : x
  2. Step 2: Convert to fraction form
    106,585.40/159,935.70 = 47,430.20/x
  3. Step 3: Cross multiply
    106,585.40x = 159,935.70 × 47,430.20
  4. Step 4: Simplify right side
    106,585.40x = 7,585,782,238.14
  5. Step 5: Solve for x
    x = 7,585,782,238.14/106,585.40
  6. Step 6: Final answer
    x = 71,170.93

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.