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Finding the Fourth Proportional to 142,106.40, 213,332.40 and 106,768.80

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Solution

The fourth proportional to 142,106.40, 213,332.40 and 106,768.80 is: 160,283.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,106.40 : 213,332.40 = 106,768.80 : x
  2. Step 2: Convert to fraction form
    142,106.40/213,332.40 = 106,768.80/x
  3. Step 3: Cross multiply
    142,106.40x = 213,332.40 × 106,768.80
  4. Step 4: Simplify right side
    142,106.40x = 22,777,244,349.12
  5. Step 5: Solve for x
    x = 22,777,244,349.12/142,106.40
  6. Step 6: Final answer
    x = 160,283.03

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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.