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Finding the Fourth Proportional to 137,706.76, 190,039.10 and 77,281.10

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Solution

The fourth proportional to 137,706.76, 190,039.10 and 77,281.10 is: 106,650.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,706.76 : 190,039.10 = 77,281.10 : x
  2. Step 2: Convert to fraction form
    137,706.76/190,039.10 = 77,281.10/x
  3. Step 3: Cross multiply
    137,706.76x = 190,039.10 × 77,281.10
  4. Step 4: Simplify right side
    137,706.76x = 14,686,430,691.01
  5. Step 5: Solve for x
    x = 14,686,430,691.01/137,706.76
  6. Step 6: Final answer
    x = 106,650.03

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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.