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Finding the Fourth Proportional to 103,407.65, 142,713 and 63,144.98

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Solution

The fourth proportional to 103,407.65, 142,713 and 63,144.98 is: 87,146.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,407.65 : 142,713 = 63,144.98 : x
  2. Step 2: Convert to fraction form
    103,407.65/142,713 = 63,144.98/x
  3. Step 3: Cross multiply
    103,407.65x = 142,713 × 63,144.98
  4. Step 4: Simplify right side
    103,407.65x = 9,011,608,817.18
  5. Step 5: Solve for x
    x = 9,011,608,817.18/103,407.65
  6. Step 6: Final answer
    x = 87,146.45

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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.