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Finding the Fourth Proportional to 137,594.48, 189,799.76 and 86,526.21

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Solution

The fourth proportional to 137,594.48, 189,799.76 and 86,526.21 is: 119,355.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,594.48 : 189,799.76 = 86,526.21 : x
  2. Step 2: Convert to fraction form
    137,594.48/189,799.76 = 86,526.21/x
  3. Step 3: Cross multiply
    137,594.48x = 189,799.76 × 86,526.21
  4. Step 4: Simplify right side
    137,594.48x = 16,422,654,108.03
  5. Step 5: Solve for x
    x = 16,422,654,108.03/137,594.48
  6. Step 6: Final answer
    x = 119,355.47

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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.