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Finding the Fourth Proportional to 81,547.31, 122,298.81 and 22,368.98

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Solution

The fourth proportional to 81,547.31, 122,298.81 and 22,368.98 is: 33,547.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,547.31 : 122,298.81 = 22,368.98 : x
  2. Step 2: Convert to fraction form
    81,547.31/122,298.81 = 22,368.98/x
  3. Step 3: Cross multiply
    81,547.31x = 122,298.81 × 22,368.98
  4. Step 4: Simplify right side
    81,547.31x = 2,735,699,023.42
  5. Step 5: Solve for x
    x = 2,735,699,023.42/81,547.31
  6. Step 6: Final answer
    x = 33,547.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.