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Finding the Fourth Proportional to 77,281.64, 106,597.86 and 60,485.48

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Solution

The fourth proportional to 77,281.64, 106,597.86 and 60,485.48 is: 83,430.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,281.64 : 106,597.86 = 60,485.48 : x
  2. Step 2: Convert to fraction form
    77,281.64/106,597.86 = 60,485.48/x
  3. Step 3: Cross multiply
    77,281.64x = 106,597.86 × 60,485.48
  4. Step 4: Simplify right side
    77,281.64x = 6,447,622,729.07
  5. Step 5: Solve for x
    x = 6,447,622,729.07/77,281.64
  6. Step 6: Final answer
    x = 83,430.20

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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.