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Finding the Fourth Proportional to 103,355.78, 142,646.57 and 63,092.98

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Solution

The fourth proportional to 103,355.78, 142,646.57 and 63,092.98 is: 87,077.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,355.78 : 142,646.57 = 63,092.98 : x
  2. Step 2: Convert to fraction form
    103,355.78/142,646.57 = 63,092.98/x
  3. Step 3: Cross multiply
    103,355.78x = 142,646.57 × 63,092.98
  4. Step 4: Simplify right side
    103,355.78x = 8,999,997,188.08
  5. Step 5: Solve for x
    x = 8,999,997,188.08/103,355.78
  6. Step 6: Final answer
    x = 87,077.83

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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.