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Finding the Fourth Proportional to 83,970.68, 115,890.13 and 48,159.92

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Solution

The fourth proportional to 83,970.68, 115,890.13 and 48,159.92 is: 66,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,970.68 : 115,890.13 = 48,159.92 : x
  2. Step 2: Convert to fraction form
    83,970.68/115,890.13 = 48,159.92/x
  3. Step 3: Cross multiply
    83,970.68x = 115,890.13 × 48,159.92
  4. Step 4: Simplify right side
    83,970.68x = 5,581,259,739.51
  5. Step 5: Solve for x
    x = 5,581,259,739.51/83,970.68
  6. Step 6: Final answer
    x = 66,466.77

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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.