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Finding the Fourth Proportional to 142,706.48, 196,939.80 and 86,106.80

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Solution

The fourth proportional to 142,706.48, 196,939.80 and 86,106.80 is: 118,830.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,706.48 : 196,939.80 = 86,106.80 : x
  2. Step 2: Convert to fraction form
    142,706.48/196,939.80 = 86,106.80/x
  3. Step 3: Cross multiply
    142,706.48x = 196,939.80 × 86,106.80
  4. Step 4: Simplify right side
    142,706.48x = 16,957,855,970.64
  5. Step 5: Solve for x
    x = 16,957,855,970.64/142,706.48
  6. Step 6: Final answer
    x = 118,830.31

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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.