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Finding the Fourth Proportional to 153,602.94, 211,976.55 and 89,934.78

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Solution

The fourth proportional to 153,602.94, 211,976.55 and 89,934.78 is: 124,112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,602.94 : 211,976.55 = 89,934.78 : x
  2. Step 2: Convert to fraction form
    153,602.94/211,976.55 = 89,934.78/x
  3. Step 3: Cross multiply
    153,602.94x = 211,976.55 × 89,934.78
  4. Step 4: Simplify right side
    153,602.94x = 19,064,064,389.41
  5. Step 5: Solve for x
    x = 19,064,064,389.41/153,602.94
  6. Step 6: Final answer
    x = 124,112.63

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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.