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Finding the Fourth Proportional to 121,653.63, 167,955.93 and 83,475.90

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Solution

The fourth proportional to 121,653.63, 167,955.93 and 83,475.90 is: 115,247.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,653.63 : 167,955.93 = 83,475.90 : x
  2. Step 2: Convert to fraction form
    121,653.63/167,955.93 = 83,475.90/x
  3. Step 3: Cross multiply
    121,653.63x = 167,955.93 × 83,475.90
  4. Step 4: Simplify right side
    121,653.63x = 14,020,272,417.09
  5. Step 5: Solve for x
    x = 14,020,272,417.09/121,653.63
  6. Step 6: Final answer
    x = 115,247.46

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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.