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Finding the Fourth Proportional to 142,751.40, 214,127.10 and 83,653.80

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Solution

The fourth proportional to 142,751.40, 214,127.10 and 83,653.80 is: 125,480.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,751.40 : 214,127.10 = 83,653.80 : x
  2. Step 2: Convert to fraction form
    142,751.40/214,127.10 = 83,653.80/x
  3. Step 3: Cross multiply
    142,751.40x = 214,127.10 × 83,653.80
  4. Step 4: Simplify right side
    142,751.40x = 17,912,545,597.98
  5. Step 5: Solve for x
    x = 17,912,545,597.98/142,751.40
  6. Step 6: Final answer
    x = 125,480.70

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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.