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Finding the Fourth Proportional to 137,897.04, 190,284.48 and 77,454

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Solution

The fourth proportional to 137,897.04, 190,284.48 and 77,454 is: 106,878.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,897.04 : 190,284.48 = 77,454 : x
  2. Step 2: Convert to fraction form
    137,897.04/190,284.48 = 77,454/x
  3. Step 3: Cross multiply
    137,897.04x = 190,284.48 × 77,454
  4. Step 4: Simplify right side
    137,897.04x = 14,738,294,113.92
  5. Step 5: Solve for x
    x = 14,738,294,113.92/137,897.04
  6. Step 6: Final answer
    x = 106,878.97

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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.