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Finding the Fourth Proportional to 138,957.86, 191,736.59 and 77,705.19

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Solution

The fourth proportional to 138,957.86, 191,736.59 and 77,705.19 is: 107,219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,957.86 : 191,736.59 = 77,705.19 : x
  2. Step 2: Convert to fraction form
    138,957.86/191,736.59 = 77,705.19/x
  3. Step 3: Cross multiply
    138,957.86x = 191,736.59 × 77,705.19
  4. Step 4: Simplify right side
    138,957.86x = 14,898,927,767.38
  5. Step 5: Solve for x
    x = 14,898,927,767.38/138,957.86
  6. Step 6: Final answer
    x = 107,219.03

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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.