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Finding the Fourth Proportional to 109,901.40, 164,753.07 and 39,731.50

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Solution

The fourth proportional to 109,901.40, 164,753.07 and 39,731.50 is: 59,561.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,901.40 : 164,753.07 = 39,731.50 : x
  2. Step 2: Convert to fraction form
    109,901.40/164,753.07 = 39,731.50/x
  3. Step 3: Cross multiply
    109,901.40x = 164,753.07 × 39,731.50
  4. Step 4: Simplify right side
    109,901.40x = 6,545,886,600.71
  5. Step 5: Solve for x
    x = 6,545,886,600.71/109,901.40
  6. Step 6: Final answer
    x = 59,561.45

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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.