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Finding the Fourth Proportional to 102,117.70, 153,176.55 and 52,181.20

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Solution

The fourth proportional to 102,117.70, 153,176.55 and 52,181.20 is: 78,271.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,117.70 : 153,176.55 = 52,181.20 : x
  2. Step 2: Convert to fraction form
    102,117.70/153,176.55 = 52,181.20/x
  3. Step 3: Cross multiply
    102,117.70x = 153,176.55 × 52,181.20
  4. Step 4: Simplify right side
    102,117.70x = 7,992,936,190.86
  5. Step 5: Solve for x
    x = 7,992,936,190.86/102,117.70
  6. Step 6: Final answer
    x = 78,271.80

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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.