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Finding the Fourth Proportional to 139,387, 192,356.40 and 75,724.86

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Solution

The fourth proportional to 139,387, 192,356.40 and 75,724.86 is: 104,501.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,387 : 192,356.40 = 75,724.86 : x
  2. Step 2: Convert to fraction form
    139,387/192,356.40 = 75,724.86/x
  3. Step 3: Cross multiply
    139,387x = 192,356.40 × 75,724.86
  4. Step 4: Simplify right side
    139,387x = 14,566,161,460.10
  5. Step 5: Solve for x
    x = 14,566,161,460.10/139,387
  6. Step 6: Final answer
    x = 104,501.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.