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Finding the Fourth Proportional to 153,530.06, 230,071.10 and 68,037.80

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Solution

The fourth proportional to 153,530.06, 230,071.10 and 68,037.80 is: 101,957.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,530.06 : 230,071.10 = 68,037.80 : x
  2. Step 2: Convert to fraction form
    153,530.06/230,071.10 = 68,037.80/x
  3. Step 3: Cross multiply
    153,530.06x = 230,071.10 × 68,037.80
  4. Step 4: Simplify right side
    153,530.06x = 15,653,531,487.58
  5. Step 5: Solve for x
    x = 15,653,531,487.58/153,530.06
  6. Step 6: Final answer
    x = 101,957.44

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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.