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Finding the Fourth Proportional to 105,702.96, 145,874.64 and 63,253.32

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Solution

The fourth proportional to 105,702.96, 145,874.64 and 63,253.32 is: 87,292.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,702.96 : 145,874.64 = 63,253.32 : x
  2. Step 2: Convert to fraction form
    105,702.96/145,874.64 = 63,253.32/x
  3. Step 3: Cross multiply
    105,702.96x = 145,874.64 × 63,253.32
  4. Step 4: Simplify right side
    105,702.96x = 9,227,055,283.80
  5. Step 5: Solve for x
    x = 9,227,055,283.80/105,702.96
  6. Step 6: Final answer
    x = 87,292.31

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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.