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Finding the Fourth Proportional to 76,138.99, 114,072.82 and 64,931.98

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Solution

The fourth proportional to 76,138.99, 114,072.82 and 64,931.98 is: 97,282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,138.99 : 114,072.82 = 64,931.98 : x
  2. Step 2: Convert to fraction form
    76,138.99/114,072.82 = 64,931.98/x
  3. Step 3: Cross multiply
    76,138.99x = 114,072.82 × 64,931.98
  4. Step 4: Simplify right side
    76,138.99x = 7,406,974,066.78
  5. Step 5: Solve for x
    x = 7,406,974,066.78/76,138.99
  6. Step 6: Final answer
    x = 97,282.27

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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.