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Finding the Fourth Proportional to 138,323.19, 190,870.11 and 77,892.33

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Solution

The fourth proportional to 138,323.19, 190,870.11 and 77,892.33 is: 107,482.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,323.19 : 190,870.11 = 77,892.33 : x
  2. Step 2: Convert to fraction form
    138,323.19/190,870.11 = 77,892.33/x
  3. Step 3: Cross multiply
    138,323.19x = 190,870.11 × 77,892.33
  4. Step 4: Simplify right side
    138,323.19x = 14,867,317,595.26
  5. Step 5: Solve for x
    x = 14,867,317,595.26/138,323.19
  6. Step 6: Final answer
    x = 107,482.47

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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.