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Finding the Fourth Proportional to 139,521.40, 209,282.90 and 34,339.66

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Solution

The fourth proportional to 139,521.40, 209,282.90 and 34,339.66 is: 51,509.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,521.40 : 209,282.90 = 34,339.66 : x
  2. Step 2: Convert to fraction form
    139,521.40/209,282.90 = 34,339.66/x
  3. Step 3: Cross multiply
    139,521.40x = 209,282.90 × 34,339.66
  4. Step 4: Simplify right side
    139,521.40x = 7,186,703,629.81
  5. Step 5: Solve for x
    x = 7,186,703,629.81/139,521.40
  6. Step 6: Final answer
    x = 51,509.69

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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.