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Finding the Fourth Proportional to 103,655, 143,043.90 and 61,214.24

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Solution

The fourth proportional to 103,655, 143,043.90 and 61,214.24 is: 84,475.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,655 : 143,043.90 = 61,214.24 : x
  2. Step 2: Convert to fraction form
    103,655/143,043.90 = 61,214.24/x
  3. Step 3: Cross multiply
    103,655x = 143,043.90 × 61,214.24
  4. Step 4: Simplify right side
    103,655x = 8,756,323,625.14
  5. Step 5: Solve for x
    x = 8,756,323,625.14/103,655
  6. Step 6: Final answer
    x = 84,475.65

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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.