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Finding the Fourth Proportional to 123,494.16, 170,421.48 and 66,905.40

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Solution

The fourth proportional to 123,494.16, 170,421.48 and 66,905.40 is: 92,329.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,494.16 : 170,421.48 = 66,905.40 : x
  2. Step 2: Convert to fraction form
    123,494.16/170,421.48 = 66,905.40/x
  3. Step 3: Cross multiply
    123,494.16x = 170,421.48 × 66,905.40
  4. Step 4: Simplify right side
    123,494.16x = 11,402,117,287.99
  5. Step 5: Solve for x
    x = 11,402,117,287.99/123,494.16
  6. Step 6: Final answer
    x = 92,329.20

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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.