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Finding the Fourth Proportional to 144,956.61, 200,041.80 and 80,427.06

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Solution

The fourth proportional to 144,956.61, 200,041.80 and 80,427.06 is: 110,990.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,956.61 : 200,041.80 = 80,427.06 : x
  2. Step 2: Convert to fraction form
    144,956.61/200,041.80 = 80,427.06/x
  3. Step 3: Cross multiply
    144,956.61x = 200,041.80 × 80,427.06
  4. Step 4: Simplify right side
    144,956.61x = 16,088,773,851.11
  5. Step 5: Solve for x
    x = 16,088,773,851.11/144,956.61
  6. Step 6: Final answer
    x = 110,990.27

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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.