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Finding the Fourth Proportional to 103,187.88, 142,407.90 and 57,865.14

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Solution

The fourth proportional to 103,187.88, 142,407.90 and 57,865.14 is: 79,858.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,187.88 : 142,407.90 = 57,865.14 : x
  2. Step 2: Convert to fraction form
    103,187.88/142,407.90 = 57,865.14/x
  3. Step 3: Cross multiply
    103,187.88x = 142,407.90 × 57,865.14
  4. Step 4: Simplify right side
    103,187.88x = 8,240,453,070.61
  5. Step 5: Solve for x
    x = 8,240,453,070.61/103,187.88
  6. Step 6: Final answer
    x = 79,858.73

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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.