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Finding the Fourth Proportional to 138,886.69, 191,663.94 and 75,224.50

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Solution

The fourth proportional to 138,886.69, 191,663.94 and 75,224.50 is: 103,809.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,886.69 : 191,663.94 = 75,224.50 : x
  2. Step 2: Convert to fraction form
    138,886.69/191,663.94 = 75,224.50/x
  3. Step 3: Cross multiply
    138,886.69x = 191,663.94 × 75,224.50
  4. Step 4: Simplify right side
    138,886.69x = 14,417,824,054.53
  5. Step 5: Solve for x
    x = 14,417,824,054.53/138,886.69
  6. Step 6: Final answer
    x = 103,809.98

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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.