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Finding the Fourth Proportional to 139,957.36, 209,890.56 and 46,438

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Solution

The fourth proportional to 139,957.36, 209,890.56 and 46,438 is: 69,641.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,957.36 : 209,890.56 = 46,438 : x
  2. Step 2: Convert to fraction form
    139,957.36/209,890.56 = 46,438/x
  3. Step 3: Cross multiply
    139,957.36x = 209,890.56 × 46,438
  4. Step 4: Simplify right side
    139,957.36x = 9,746,897,825.28
  5. Step 5: Solve for x
    x = 9,746,897,825.28/139,957.36
  6. Step 6: Final answer
    x = 69,641.91

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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.