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Finding the Fourth Proportional to 103,638.64, 143,013.45 and 61,188.97

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Solution

The fourth proportional to 103,638.64, 143,013.45 and 61,188.97 is: 84,436.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,638.64 : 143,013.45 = 61,188.97 : x
  2. Step 2: Convert to fraction form
    103,638.64/143,013.45 = 61,188.97/x
  3. Step 3: Cross multiply
    103,638.64x = 143,013.45 × 61,188.97
  4. Step 4: Simplify right side
    103,638.64x = 8,750,845,701.65
  5. Step 5: Solve for x
    x = 8,750,845,701.65/103,638.64
  6. Step 6: Final answer
    x = 84,436.13

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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.