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Finding the Fourth Proportional to 139,969.30, 209,953.95 and 51,225.70

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Solution

The fourth proportional to 139,969.30, 209,953.95 and 51,225.70 is: 76,838.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,969.30 : 209,953.95 = 51,225.70 : x
  2. Step 2: Convert to fraction form
    139,969.30/209,953.95 = 51,225.70/x
  3. Step 3: Cross multiply
    139,969.30x = 209,953.95 × 51,225.70
  4. Step 4: Simplify right side
    139,969.30x = 10,755,038,056.52
  5. Step 5: Solve for x
    x = 10,755,038,056.52/139,969.30
  6. Step 6: Final answer
    x = 76,838.55

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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.