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Finding the Fourth Proportional to 218,988, 302,204.16 and 118,386.72

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Solution

The fourth proportional to 218,988, 302,204.16 and 118,386.72 is: 163,374.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,988 : 302,204.16 = 118,386.72 : x
  2. Step 2: Convert to fraction form
    218,988/302,204.16 = 118,386.72/x
  3. Step 3: Cross multiply
    218,988x = 302,204.16 × 118,386.72
  4. Step 4: Simplify right side
    218,988x = 35,776,959,272.76
  5. Step 5: Solve for x
    x = 35,776,959,272.76/218,988
  6. Step 6: Final answer
    x = 163,374.06

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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.