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Finding the Fourth Proportional to 142,761.80, 213,681.90 and 131,702.60

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Solution

The fourth proportional to 142,761.80, 213,681.90 and 131,702.60 is: 197,128.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,761.80 : 213,681.90 = 131,702.60 : x
  2. Step 2: Convert to fraction form
    142,761.80/213,681.90 = 131,702.60/x
  3. Step 3: Cross multiply
    142,761.80x = 213,681.90 × 131,702.60
  4. Step 4: Simplify right side
    142,761.80x = 28,142,461,802.94
  5. Step 5: Solve for x
    x = 28,142,461,802.94/142,761.80
  6. Step 6: Final answer
    x = 197,128.80

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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.