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Finding the Fourth Proportional to 105,702.46, 145,873.95 and 63,252.82

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Solution

The fourth proportional to 105,702.46, 145,873.95 and 63,252.82 is: 87,291.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,702.46 : 145,873.95 = 63,252.82 : x
  2. Step 2: Convert to fraction form
    105,702.46/145,873.95 = 63,252.82/x
  3. Step 3: Cross multiply
    105,702.46x = 145,873.95 × 63,252.82
  4. Step 4: Simplify right side
    105,702.46x = 9,226,938,702.04
  5. Step 5: Solve for x
    x = 9,226,938,702.04/105,702.46
  6. Step 6: Final answer
    x = 87,291.62

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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.