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Finding the Fourth Proportional to 137,710.98, 190,040.40 and 77,281.56

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Solution

The fourth proportional to 137,710.98, 190,040.40 and 77,281.56 is: 106,648.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,710.98 : 190,040.40 = 77,281.56 : x
  2. Step 2: Convert to fraction form
    137,710.98/190,040.40 = 77,281.56/x
  3. Step 3: Cross multiply
    137,710.98x = 190,040.40 × 77,281.56
  4. Step 4: Simplify right side
    137,710.98x = 14,686,618,575.02
  5. Step 5: Solve for x
    x = 14,686,618,575.02/137,710.98
  6. Step 6: Final answer
    x = 106,648.13

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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.