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Finding the Fourth Proportional to 89,913, 134,875.98 and 34,509

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Solution

The fourth proportional to 89,913, 134,875.98 and 34,509 is: 51,765.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,913 : 134,875.98 = 34,509 : x
  2. Step 2: Convert to fraction form
    89,913/134,875.98 = 34,509/x
  3. Step 3: Cross multiply
    89,913x = 134,875.98 × 34,509
  4. Step 4: Simplify right side
    89,913x = 4,654,435,193.82
  5. Step 5: Solve for x
    x = 4,654,435,193.82/89,913
  6. Step 6: Final answer
    x = 51,765.99

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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.