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Finding the Fourth Proportional to 118,634.13, 163,892.93 and 77,894.91

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Solution

The fourth proportional to 118,634.13, 163,892.93 and 77,894.91 is: 107,611.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,634.13 : 163,892.93 = 77,894.91 : x
  2. Step 2: Convert to fraction form
    118,634.13/163,892.93 = 77,894.91/x
  3. Step 3: Cross multiply
    118,634.13x = 163,892.93 × 77,894.91
  4. Step 4: Simplify right side
    118,634.13x = 12,766,424,642.51
  5. Step 5: Solve for x
    x = 12,766,424,642.51/118,634.13
  6. Step 6: Final answer
    x = 107,611.74

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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.