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Finding the Fourth Proportional to 59,643, 89,465.04 and 18,090

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Solution

The fourth proportional to 59,643, 89,465.04 and 18,090 is: 27,135.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,643 : 89,465.04 = 18,090 : x
  2. Step 2: Convert to fraction form
    59,643/89,465.04 = 18,090/x
  3. Step 3: Cross multiply
    59,643x = 89,465.04 × 18,090
  4. Step 4: Simplify right side
    59,643x = 1,618,422,573.60
  5. Step 5: Solve for x
    x = 1,618,422,573.60/59,643
  6. Step 6: Final answer
    x = 27,135.16

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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.