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Finding the Fourth Proportional to 59,643.48, 89,476.56 and 20,190

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Solution

The fourth proportional to 59,643.48, 89,476.56 and 20,190 is: 30,288.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,643.48 : 89,476.56 = 20,190 : x
  2. Step 2: Convert to fraction form
    59,643.48/89,476.56 = 20,190/x
  3. Step 3: Cross multiply
    59,643.48x = 89,476.56 × 20,190
  4. Step 4: Simplify right side
    59,643.48x = 1,806,531,746.40
  5. Step 5: Solve for x
    x = 1,806,531,746.40/59,643.48
  6. Step 6: Final answer
    x = 30,288.84

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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.