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Finding the Fourth Proportional to 147,050.40, 220,220.16 and 83,678.40

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Solution

The fourth proportional to 147,050.40, 220,220.16 and 83,678.40 is: 125,315.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,050.40 : 220,220.16 = 83,678.40 : x
  2. Step 2: Convert to fraction form
    147,050.40/220,220.16 = 83,678.40/x
  3. Step 3: Cross multiply
    147,050.40x = 220,220.16 × 83,678.40
  4. Step 4: Simplify right side
    147,050.40x = 18,427,670,636.54
  5. Step 5: Solve for x
    x = 18,427,670,636.54/147,050.40
  6. Step 6: Final answer
    x = 125,315.34

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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.