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Finding the Fourth Proportional to 137,924.67, 190,330.74 and 77,497.86

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Solution

The fourth proportional to 137,924.67, 190,330.74 and 77,497.86 is: 106,944.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,924.67 : 190,330.74 = 77,497.86 : x
  2. Step 2: Convert to fraction form
    137,924.67/190,330.74 = 77,497.86/x
  3. Step 3: Cross multiply
    137,924.67x = 190,330.74 × 77,497.86
  4. Step 4: Simplify right side
    137,924.67x = 14,750,225,332.83
  5. Step 5: Solve for x
    x = 14,750,225,332.83/137,924.67
  6. Step 6: Final answer
    x = 106,944.07

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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.