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Finding the Fourth Proportional to 145,803.06, 201,208.23 and 78,735.06

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Solution

The fourth proportional to 145,803.06, 201,208.23 and 78,735.06 is: 108,654.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,803.06 : 201,208.23 = 78,735.06 : x
  2. Step 2: Convert to fraction form
    145,803.06/201,208.23 = 78,735.06/x
  3. Step 3: Cross multiply
    145,803.06x = 201,208.23 × 78,735.06
  4. Step 4: Simplify right side
    145,803.06x = 15,842,142,367.73
  5. Step 5: Solve for x
    x = 15,842,142,367.73/145,803.06
  6. Step 6: Final answer
    x = 108,654.39

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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.