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Finding the Fourth Proportional to 137,978.04, 190,404.36 and 77,551.20

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Solution

The fourth proportional to 137,978.04, 190,404.36 and 77,551.20 is: 107,017.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,978.04 : 190,404.36 = 77,551.20 : x
  2. Step 2: Convert to fraction form
    137,978.04/190,404.36 = 77,551.20/x
  3. Step 3: Cross multiply
    137,978.04x = 190,404.36 × 77,551.20
  4. Step 4: Simplify right side
    137,978.04x = 14,766,086,603.23
  5. Step 5: Solve for x
    x = 14,766,086,603.23/137,978.04
  6. Step 6: Final answer
    x = 107,017.66

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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.