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Finding the Fourth Proportional to 103,205.31, 142,424.81 and 77,317.98

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Solution

The fourth proportional to 103,205.31, 142,424.81 and 77,317.98 is: 106,699.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,205.31 : 142,424.81 = 77,317.98 : x
  2. Step 2: Convert to fraction form
    103,205.31/142,424.81 = 77,317.98/x
  3. Step 3: Cross multiply
    103,205.31x = 142,424.81 × 77,317.98
  4. Step 4: Simplify right side
    103,205.31x = 11,011,998,611.08
  5. Step 5: Solve for x
    x = 11,011,998,611.08/103,205.31
  6. Step 6: Final answer
    x = 106,699.92

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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.