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Finding the Fourth Proportional to 81,661.61, 112,702.05 and 47,678.45

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Solution

The fourth proportional to 81,661.61, 112,702.05 and 47,678.45 is: 65,801.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,661.61 : 112,702.05 = 47,678.45 : x
  2. Step 2: Convert to fraction form
    81,661.61/112,702.05 = 47,678.45/x
  3. Step 3: Cross multiply
    81,661.61x = 112,702.05 × 47,678.45
  4. Step 4: Simplify right side
    81,661.61x = 5,373,459,055.82
  5. Step 5: Solve for x
    x = 5,373,459,055.82/81,661.61
  6. Step 6: Final answer
    x = 65,801.53

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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.