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Finding the Fourth Proportional to 85,740.80, 118,322.28 and 47,502.83

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Solution

The fourth proportional to 85,740.80, 118,322.28 and 47,502.83 is: 65,553.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,740.80 : 118,322.28 = 47,502.83 : x
  2. Step 2: Convert to fraction form
    85,740.80/118,322.28 = 47,502.83/x
  3. Step 3: Cross multiply
    85,740.80x = 118,322.28 × 47,502.83
  4. Step 4: Simplify right side
    85,740.80x = 5,620,643,152.05
  5. Step 5: Solve for x
    x = 5,620,643,152.05/85,740.80
  6. Step 6: Final answer
    x = 65,553.89

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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.