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Finding the Fourth Proportional to 99,447.52, 137,256 and 57,006.40

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Solution

The fourth proportional to 99,447.52, 137,256 and 57,006.40 is: 78,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,447.52 : 137,256 = 57,006.40 : x
  2. Step 2: Convert to fraction form
    99,447.52/137,256 = 57,006.40/x
  3. Step 3: Cross multiply
    99,447.52x = 137,256 × 57,006.40
  4. Step 4: Simplify right side
    99,447.52x = 7,824,470,438.40
  5. Step 5: Solve for x
    x = 7,824,470,438.40/99,447.52
  6. Step 6: Final answer
    x = 78,679.39

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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.