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Finding the Fourth Proportional to 147,035.20, 205,405.40 and 147,035.20

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Solution

The fourth proportional to 147,035.20, 205,405.40 and 147,035.20 is: 205,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,035.20 : 205,405.40 = 147,035.20 : x
  2. Step 2: Convert to fraction form
    147,035.20/205,405.40 = 147,035.20/x
  3. Step 3: Cross multiply
    147,035.20x = 205,405.40 × 147,035.20
  4. Step 4: Simplify right side
    147,035.20x = 30,201,824,070.08
  5. Step 5: Solve for x
    x = 30,201,824,070.08/147,035.20
  6. Step 6: Final answer
    x = 205,405.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.