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Finding the Fourth Proportional to 128,502.82, 192,931.11 and 65,365.67

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Solution

The fourth proportional to 128,502.82, 192,931.11 and 65,365.67 is: 98,138.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,502.82 : 192,931.11 = 65,365.67 : x
  2. Step 2: Convert to fraction form
    128,502.82/192,931.11 = 65,365.67/x
  3. Step 3: Cross multiply
    128,502.82x = 192,931.11 × 65,365.67
  4. Step 4: Simplify right side
    128,502.82x = 12,611,070,666.08
  5. Step 5: Solve for x
    x = 12,611,070,666.08/128,502.82
  6. Step 6: Final answer
    x = 98,138.48

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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.