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Finding the Fourth Proportional to 123,701.76, 170,708.40 and 69,985.68

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Solution

The fourth proportional to 123,701.76, 170,708.40 and 69,985.68 is: 96,580.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,701.76 : 170,708.40 = 69,985.68 : x
  2. Step 2: Convert to fraction form
    123,701.76/170,708.40 = 69,985.68/x
  3. Step 3: Cross multiply
    123,701.76x = 170,708.40 × 69,985.68
  4. Step 4: Simplify right side
    123,701.76x = 11,947,143,455.71
  5. Step 5: Solve for x
    x = 11,947,143,455.71/123,701.76
  6. Step 6: Final answer
    x = 96,580.22

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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.