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Finding the Fourth Proportional to 140,731.84, 194,210.56 and 77,070.08

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Solution

The fourth proportional to 140,731.84, 194,210.56 and 77,070.08 is: 106,357.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,731.84 : 194,210.56 = 77,070.08 : x
  2. Step 2: Convert to fraction form
    140,731.84/194,210.56 = 77,070.08/x
  3. Step 3: Cross multiply
    140,731.84x = 194,210.56 × 77,070.08
  4. Step 4: Simplify right side
    140,731.84x = 14,967,823,396.04
  5. Step 5: Solve for x
    x = 14,967,823,396.04/140,731.84
  6. Step 6: Final answer
    x = 106,357.05

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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.