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Finding the Fourth Proportional to 89,465, 123,461.70 and 51,741.68

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Solution

The fourth proportional to 89,465, 123,461.70 and 51,741.68 is: 71,403.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,465 : 123,461.70 = 51,741.68 : x
  2. Step 2: Convert to fraction form
    89,465/123,461.70 = 51,741.68/x
  3. Step 3: Cross multiply
    89,465x = 123,461.70 × 51,741.68
  4. Step 4: Simplify right side
    89,465x = 6,388,115,773.66
  5. Step 5: Solve for x
    x = 6,388,115,773.66/89,465
  6. Step 6: Final answer
    x = 71,403.52

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1.5x scale

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.