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Finding the Fourth Proportional to 147,343.84, 221,081.10 and 77,206.48

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Solution

The fourth proportional to 147,343.84, 221,081.10 and 77,206.48 is: 115,843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,343.84 : 221,081.10 = 77,206.48 : x
  2. Step 2: Convert to fraction form
    147,343.84/221,081.10 = 77,206.48/x
  3. Step 3: Cross multiply
    147,343.84x = 221,081.10 × 77,206.48
  4. Step 4: Simplify right side
    147,343.84x = 17,068,893,525.53
  5. Step 5: Solve for x
    x = 17,068,893,525.53/147,343.84
  6. Step 6: Final answer
    x = 115,843.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.