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Finding the Fourth Proportional to 138,708.91, 191,416.80 and 75,045.34

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Solution

The fourth proportional to 138,708.91, 191,416.80 and 75,045.34 is: 103,561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,708.91 : 191,416.80 = 75,045.34 : x
  2. Step 2: Convert to fraction form
    138,708.91/191,416.80 = 75,045.34/x
  3. Step 3: Cross multiply
    138,708.91x = 191,416.80 × 75,045.34
  4. Step 4: Simplify right side
    138,708.91x = 14,364,938,837.71
  5. Step 5: Solve for x
    x = 14,364,938,837.71/138,708.91
  6. Step 6: Final answer
    x = 103,561.76

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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.