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Finding the Fourth Proportional to 138,617.61, 191,292.08 and 78,188.07

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Solution

The fourth proportional to 138,617.61, 191,292.08 and 78,188.07 is: 107,899.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,617.61 : 191,292.08 = 78,188.07 : x
  2. Step 2: Convert to fraction form
    138,617.61/191,292.08 = 78,188.07/x
  3. Step 3: Cross multiply
    138,617.61x = 191,292.08 × 78,188.07
  4. Step 4: Simplify right side
    138,617.61x = 14,956,757,433.20
  5. Step 5: Solve for x
    x = 14,956,757,433.20/138,617.61
  6. Step 6: Final answer
    x = 107,899.40

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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.