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Finding the Fourth Proportional to 77,920.58, 107,522.64 and 47,714.47

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Solution

The fourth proportional to 77,920.58, 107,522.64 and 47,714.47 is: 65,841.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,920.58 : 107,522.64 = 47,714.47 : x
  2. Step 2: Convert to fraction form
    77,920.58/107,522.64 = 47,714.47/x
  3. Step 3: Cross multiply
    77,920.58x = 107,522.64 × 47,714.47
  4. Step 4: Simplify right side
    77,920.58x = 5,130,385,511.79
  5. Step 5: Solve for x
    x = 5,130,385,511.79/77,920.58
  6. Step 6: Final answer
    x = 65,841.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.