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Finding the Fourth Proportional to 139,658.24, 209,487.36 and 65,792

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Solution

The fourth proportional to 139,658.24, 209,487.36 and 65,792 is: 98,688

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,658.24 : 209,487.36 = 65,792 : x
  2. Step 2: Convert to fraction form
    139,658.24/209,487.36 = 65,792/x
  3. Step 3: Cross multiply
    139,658.24x = 209,487.36 × 65,792
  4. Step 4: Simplify right side
    139,658.24x = 13,782,592,389.12
  5. Step 5: Solve for x
    x = 13,782,592,389.12/139,658.24
  6. Step 6: Final answer
    x = 98,688

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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.