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Finding the Fourth Proportional to 51,402.60, 77,103.90 and 30,666.60

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Solution

The fourth proportional to 51,402.60, 77,103.90 and 30,666.60 is: 45,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,402.60 : 77,103.90 = 30,666.60 : x
  2. Step 2: Convert to fraction form
    51,402.60/77,103.90 = 30,666.60/x
  3. Step 3: Cross multiply
    51,402.60x = 77,103.90 × 30,666.60
  4. Step 4: Simplify right side
    51,402.60x = 2,364,514,459.74
  5. Step 5: Solve for x
    x = 2,364,514,459.74/51,402.60
  6. Step 6: Final answer
    x = 45,999.90

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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.