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Finding the Fourth Proportional to 218,886.53, 302,059.35 and 123,393.29

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Solution

The fourth proportional to 218,886.53, 302,059.35 and 123,393.29 is: 170,280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,886.53 : 302,059.35 = 123,393.29 : x
  2. Step 2: Convert to fraction form
    218,886.53/302,059.35 = 123,393.29/x
  3. Step 3: Cross multiply
    218,886.53x = 302,059.35 × 123,393.29
  4. Step 4: Simplify right side
    218,886.53x = 37,272,095,461.46
  5. Step 5: Solve for x
    x = 37,272,095,461.46/218,886.53
  6. Step 6: Final answer
    x = 170,280.45

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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.