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Finding the Fourth Proportional to 142,026.16, 195,996.08 and 78,364.08

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Solution

The fourth proportional to 142,026.16, 195,996.08 and 78,364.08 is: 108,142.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,026.16 : 195,996.08 = 78,364.08 : x
  2. Step 2: Convert to fraction form
    142,026.16/195,996.08 = 78,364.08/x
  3. Step 3: Cross multiply
    142,026.16x = 195,996.08 × 78,364.08
  4. Step 4: Simplify right side
    142,026.16x = 15,359,052,492.81
  5. Step 5: Solve for x
    x = 15,359,052,492.81/142,026.16
  6. Step 6: Final answer
    x = 108,142.42

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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.