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Finding the Fourth Proportional to 100,689, 138,950.82 and 55,985.64

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Solution

The fourth proportional to 100,689, 138,950.82 and 55,985.64 is: 77,260.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,689 : 138,950.82 = 55,985.64 : x
  2. Step 2: Convert to fraction form
    100,689/138,950.82 = 55,985.64/x
  3. Step 3: Cross multiply
    100,689x = 138,950.82 × 55,985.64
  4. Step 4: Simplify right side
    100,689x = 7,779,250,586.22
  5. Step 5: Solve for x
    x = 7,779,250,586.22/100,689
  6. Step 6: Final answer
    x = 77,260.18

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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.