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Finding the Fourth Proportional to 78,053.75, 117,076.51 and 21,897.77

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Solution

The fourth proportional to 78,053.75, 117,076.51 and 21,897.77 is: 32,845.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,053.75 : 117,076.51 = 21,897.77 : x
  2. Step 2: Convert to fraction form
    78,053.75/117,076.51 = 21,897.77/x
  3. Step 3: Cross multiply
    78,053.75x = 117,076.51 × 21,897.77
  4. Step 4: Simplify right side
    78,053.75x = 2,563,714,488.38
  5. Step 5: Solve for x
    x = 2,563,714,488.38/78,053.75
  6. Step 6: Final answer
    x = 32,845.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.