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Finding the Fourth Proportional to 77,014.57, 115,259.01 and 64,548.67

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Solution

The fourth proportional to 77,014.57, 115,259.01 and 64,548.67 is: 96,602.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,014.57 : 115,259.01 = 64,548.67 : x
  2. Step 2: Convert to fraction form
    77,014.57/115,259.01 = 64,548.67/x
  3. Step 3: Cross multiply
    77,014.57x = 115,259.01 × 64,548.67
  4. Step 4: Simplify right side
    77,014.57x = 7,439,815,270.81
  5. Step 5: Solve for x
    x = 7,439,815,270.81/77,014.57
  6. Step 6: Final answer
    x = 96,602.70

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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.