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Finding the Fourth Proportional to 153,411.64, 211,709.64 and 89,737

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Solution

The fourth proportional to 153,411.64, 211,709.64 and 89,737 is: 123,837.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,411.64 : 211,709.64 = 89,737 : x
  2. Step 2: Convert to fraction form
    153,411.64/211,709.64 = 89,737/x
  3. Step 3: Cross multiply
    153,411.64x = 211,709.64 × 89,737
  4. Step 4: Simplify right side
    153,411.64x = 18,998,187,964.68
  5. Step 5: Solve for x
    x = 18,998,187,964.68/153,411.64
  6. Step 6: Final answer
    x = 123,837.98

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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.