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Finding the Fourth Proportional to 77,807.98, 116,714.31 and 30,421.18

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Solution

The fourth proportional to 77,807.98, 116,714.31 and 30,421.18 is: 45,632.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,807.98 : 116,714.31 = 30,421.18 : x
  2. Step 2: Convert to fraction form
    77,807.98/116,714.31 = 30,421.18/x
  3. Step 3: Cross multiply
    77,807.98x = 116,714.31 × 30,421.18
  4. Step 4: Simplify right side
    77,807.98x = 3,550,587,033.09
  5. Step 5: Solve for x
    x = 3,550,587,033.09/77,807.98
  6. Step 6: Final answer
    x = 45,632.68

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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.