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Finding the Fourth Proportional to 77,980.64, 107,609.76 and 49,695.36

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Solution

The fourth proportional to 77,980.64, 107,609.76 and 49,695.36 is: 68,577.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,980.64 : 107,609.76 = 49,695.36 : x
  2. Step 2: Convert to fraction form
    77,980.64/107,609.76 = 49,695.36/x
  3. Step 3: Cross multiply
    77,980.64x = 107,609.76 × 49,695.36
  4. Step 4: Simplify right side
    77,980.64x = 5,347,705,762.71
  5. Step 5: Solve for x
    x = 5,347,705,762.71/77,980.64
  6. Step 6: Final answer
    x = 68,577.35

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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.