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Finding the Fourth Proportional to 145,724.80, 218,587.20 and 47,228.80

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Solution

The fourth proportional to 145,724.80, 218,587.20 and 47,228.80 is: 70,843.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,724.80 : 218,587.20 = 47,228.80 : x
  2. Step 2: Convert to fraction form
    145,724.80/218,587.20 = 47,228.80/x
  3. Step 3: Cross multiply
    145,724.80x = 218,587.20 × 47,228.80
  4. Step 4: Simplify right side
    145,724.80x = 10,323,611,151.36
  5. Step 5: Solve for x
    x = 10,323,611,151.36/145,724.80
  6. Step 6: Final answer
    x = 70,843.20

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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.