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Finding the Fourth Proportional to 81,655.67, 112,681.93 and 45,847.19

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Solution

The fourth proportional to 81,655.67, 112,681.93 and 45,847.19 is: 63,267.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,655.67 : 112,681.93 = 45,847.19 : x
  2. Step 2: Convert to fraction form
    81,655.67/112,681.93 = 45,847.19/x
  3. Step 3: Cross multiply
    81,655.67x = 112,681.93 × 45,847.19
  4. Step 4: Simplify right side
    81,655.67x = 5,166,149,854.28
  5. Step 5: Solve for x
    x = 5,166,149,854.28/81,655.67
  6. Step 6: Final answer
    x = 63,267.50

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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.