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Finding the Fourth Proportional to 138,409.06, 191,005.13 and 77,980.63

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Solution

The fourth proportional to 138,409.06, 191,005.13 and 77,980.63 is: 107,613.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,409.06 : 191,005.13 = 77,980.63 : x
  2. Step 2: Convert to fraction form
    138,409.06/191,005.13 = 77,980.63/x
  3. Step 3: Cross multiply
    138,409.06x = 191,005.13 × 77,980.63
  4. Step 4: Simplify right side
    138,409.06x = 14,894,700,370.63
  5. Step 5: Solve for x
    x = 14,894,700,370.63/138,409.06
  6. Step 6: Final answer
    x = 107,613.62

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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.