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Finding the Fourth Proportional to 142,412.60, 196,525.50 and 78,748.22

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Solution

The fourth proportional to 142,412.60, 196,525.50 and 78,748.22 is: 108,670.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,412.60 : 196,525.50 = 78,748.22 : x
  2. Step 2: Convert to fraction form
    142,412.60/196,525.50 = 78,748.22/x
  3. Step 3: Cross multiply
    142,412.60x = 196,525.50 × 78,748.22
  4. Step 4: Simplify right side
    142,412.60x = 15,476,033,309.61
  5. Step 5: Solve for x
    x = 15,476,033,309.61/142,412.60
  6. Step 6: Final answer
    x = 108,670.39

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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.