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Finding the Fourth Proportional to 145,830.70, 218,746.05 and 133,364.80

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Solution

The fourth proportional to 145,830.70, 218,746.05 and 133,364.80 is: 200,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,830.70 : 218,746.05 = 133,364.80 : x
  2. Step 2: Convert to fraction form
    145,830.70/218,746.05 = 133,364.80/x
  3. Step 3: Cross multiply
    145,830.70x = 218,746.05 × 133,364.80
  4. Step 4: Simplify right side
    145,830.70x = 29,173,023,209.04
  5. Step 5: Solve for x
    x = 29,173,023,209.04/145,830.70
  6. Step 6: Final answer
    x = 200,047.20

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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.